torabi

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9 years, 282 days

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These are questions asked by torabi

HOW I can find the function that satisfies these boundary conditions?

please help me.

Thanks

FUNCTION.mw

Download FUNCTION.mw

 

hi

please help me for simplify (factor) this equations.

thanks

vel.mw
 

simplify(-(1/226609908940800)*(106722*Br*NT*ln(h)*NB-106722*Br*NT*ln(R0)*NB-106722*Br*NT^2*ln(h)+106722*Br*NT^2*ln(R0)-106722*NB^2*Gr*ln(h)+106722*NB^2*Gr*ln(R0)+106722*Gr*NT*ln(h)*NB-106722*Gr*NT*ln(R0)*NB)*r^12/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-524288*Br*NT*ln(h)*R0*NB-524288*Br*NT*ln(h)*h*NB+524288*Br*NT*ln(R0)*R0*NB+524288*Br*NT*ln(R0)*h*NB+524288*Br*NT^2*ln(h)*R0+524288*Br*NT^2*ln(h)*h-524288*Br*NT^2*ln(R0)*R0-524288*Br*NT^2*ln(R0)*h+524288*NB^2*Gr*ln(h)*R0+524288*NB^2*Gr*ln(h)*h-524288*NB^2*Gr*ln(R0)*R0-524288*NB^2*Gr*ln(R0)*h-524288*Gr*NT*ln(h)*R0*NB-524288*Gr*NT*ln(h)*h*NB+524288*Gr*NT*ln(R0)*R0*NB+524288*Gr*NT*ln(R0)*h*NB)*r^11/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(1920996*Br*NT*ln(h)*R0*h*NB-15367968*L^2*Br*NT^2*ln(h)+15367968*L^2*Br*NT^2*ln(R0)-15367968*L^2*Gr*NB^2*ln(h)+15367968*L^2*Gr*NB^2*ln(R0)-960498*NB^2*Gr*ln(h)*R0^2-960498*NB^2*Gr*ln(h)*h^2+960498*NB^2*Gr*ln(R0)*R0^2-1920996*Br*NT*ln(R0)*R0*h*NB+1920996*Gr*NT*ln(h)*R0*h*NB-1920996*Gr*NT*ln(R0)*R0*h*NB+960498*NB^2*Gr*ln(R0)*h^2-960498*Br*NT^2*ln(h)*h^2+960498*Br*NT^2*ln(R0)*R0^2-960498*Br*NT^2*ln(h)*R0^2+960498*Br*NT^2*ln(R0)*h^2+1920996*Br*NT^2*ln(R0)*R0*h-960498*Gr*NT*ln(R0)*h^2*NB+960498*Gr*NT*ln(h)*h^2*NB-960498*Gr*NT*ln(R0)*R0^2*NB+960498*Gr*NT*ln(h)*R0^2*NB-1920996*NB^2*Gr*ln(h)*R0*h+1920996*NB^2*Gr*ln(R0)*R0*h-15367968*L^2*Gr*NB*NT*ln(R0)-960498*Br*NT*ln(R0)*h^2*NB+15367968*L^2*Gr*NB*NT*ln(h)+960498*Br*NT*ln(h)*h^2*NB-960498*Br*NT*ln(R0)*R0^2*NB-15367968*L^2*Br*NB*NT*ln(R0)+960498*Br*NT*ln(h)*R0^2*NB-1920996*Br*NT^2*ln(h)*R0*h+15367968*L^2*Br*NB*NT*ln(h))*r^10/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-63438848*L^2*Br*NB*NT*ln(h)*R0-63438848*L^2*Br*NB*NT*ln(h)*h+63438848*L^2*Br*NB*NT*ln(R0)*R0+63438848*L^2*Br*NB*NT*ln(R0)*h+63438848*L^2*Br*NT^2*ln(h)*R0+63438848*L^2*Br*NT^2*ln(h)*h-63438848*L^2*Br*NT^2*ln(R0)*R0-63438848*L^2*Br*NT^2*ln(R0)*h+63438848*L^2*Gr*NB^2*ln(h)*R0+63438848*L^2*Gr*NB^2*ln(h)*h-63438848*L^2*Gr*NB^2*ln(R0)*R0-63438848*L^2*Gr*NB^2*ln(R0)*h-63438848*L^2*Gr*NB*NT*ln(h)*R0-63438848*L^2*Gr*NB*NT*ln(h)*h+63438848*L^2*Gr*NB*NT*ln(R0)*R0+63438848*L^2*Gr*NB*NT*ln(R0)*h)*r^9/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(11116875*Br*NT^2*R0^4-11116875*Br*NT^2*h^4-11116875*NB^2*Gr*h^4+1536796800*p*ln(h)*NB+11116875*NB^2*Gr*R0^4-1536796800*p*ln(R0)*NB+11116875*Gr*NT*h^4*NB-11116875*Br*NT*R0^4*NB-11116875*Gr*NT*R0^4*NB-192099600*L^2*Gr*NB*NT*ln(R0)*R0*h+192099600*L^2*Gr*NB*NT*ln(h)*R0*h-192099600*L^2*Br*NB*NT*ln(R0)*R0*h+192099600*L^2*Br*NB*NT*ln(h)*R0*h-5336100*Br*NT^2*ln(R0)*R0*h^3-11116875*Gr*NT*R0^3*h*NB-11116875*Br*NT*R0^3*h*NB+11116875*Br*NT*R0*h^3*NB+11116875*Gr*NT*R0*h^3*NB+5336100*Gr*NT*ln(R0)*R0*h^3*NB+24012450*Gr*NT*ln(R0)*R0^2*h^2*NB-24012450*Gr*NT*ln(h)*R0^2*h^2*NB-5336100*Gr*NT*ln(h)*R0^3*h*NB-5336100*Gr*NT*R0*h^3*ln(r)*NB+5336100*Gr*NT*R0^3*h*ln(r)*NB-96049800*L^2*Gr*NB*NT*ln(R0)*h^2-96049800*L^2*Gr*NB*NT*ln(R0)*R0^2+96049800*L^2*Gr*NB*NT*ln(h)*h^2+96049800*L^2*Gr*NB*NT*ln(h)*R0^2+192099600*L^2*Gr*NB^2*ln(R0)*R0*h-192099600*L^2*Gr*NB^2*ln(h)*R0*h+5336100*Br*NT*ln(R0)*R0*h^3*NB+24012450*Br*NT*ln(R0)*R0^2*h^2*NB-24012450*Br*NT*ln(h)*R0^2*h^2*NB-5336100*Br*NT*ln(h)*R0^3*h*NB-5336100*Br*NT*R0*h^3*ln(r)*NB+5336100*Gr*NT*ln(R0)*h^4*NB-5336100*Gr*NT*ln(h)*R0^4*NB-5336100*Gr*NT*h^4*ln(r)*NB+5336100*Br*NT*R0^3*h*ln(r)*NB+192099600*L^2*Br*NT^2*ln(R0)*R0*h-192099600*L^2*Br*NT^2*ln(h)*R0*h-96049800*L^2*Br*NB*NT*ln(R0)*h^2-96049800*L^2*Br*NB*NT*ln(R0)*R0^2+96049800*L^2*Br*NB*NT*ln(h)*h^2+96049800*L^2*Br*NB*NT*ln(h)*R0^2+5336100*Gr*NT*R0^4*ln(r)*NB-5336100*NB^2*Gr*ln(R0)*R0*h^3-24012450*NB^2*Gr*ln(R0)*R0^2*h^2+24012450*NB^2*Gr*ln(h)*R0^2*h^2+5336100*NB^2*Gr*ln(h)*R0^3*h+5336100*NB^2*Gr*R0*h^3*ln(r)-5336100*NB^2*Gr*R0^3*h*ln(r)+96049800*L^2*Gr*NB^2*ln(R0)*h^2+96049800*L^2*Gr*NB^2*ln(R0)*R0^2-96049800*L^2*Gr*NB^2*ln(h)*h^2-96049800*L^2*Gr*NB^2*ln(h)*R0^2-1536796800*L^4*Gr*NB*NT*ln(R0)+5336100*Br*NT^2*R0*h^3*ln(r)+1536796800*L^4*Gr*NB*NT*ln(h)-5336100*Br*NT^2*R0^3*h*ln(r)-5336100*Br*NT*ln(h)*R0^4*NB+5336100*Br*NT*ln(R0)*h^4*NB-5336100*Br*NT*h^4*ln(r)*NB+5336100*NB^2*Gr*ln(h)*R0^4-5336100*NB^2*Gr*ln(R0)*h^4-5336100*NB^2*Gr*R0^4*ln(r)+5336100*NB^2*Gr*h^4*ln(r)-1536796800*L^4*Gr*NB^2*ln(h)+1536796800*L^4*Gr*NB^2*ln(R0)+1536796800*L^4*Br*NT^2*ln(R0)-5336100*Br*NT^2*R0^4*ln(r)+5336100*Br*NT^2*h^4*ln(r)-1536796800*L^4*Br*NT^2*ln(h)+11116875*Br*NB*NT*h^4+11116875*NB^2*Gr*R0^3*h-11116875*NB^2*Gr*R0*h^3+11116875*Br*NT^2*R0^3*h-11116875*Br*NT^2*R0*h^3+5336100*Br*NT^2*ln(h)*R0^4-5336100*Br*NT^2*ln(R0)*h^4+96049800*L^2*Br*NT^2*ln(R0)*h^2+5336100*Br*NT*R0^4*ln(r)*NB-96049800*L^2*Br*NT^2*ln(h)*h^2+96049800*L^2*Br*NT^2*ln(R0)*R0^2-1536796800*L^4*Br*NB*NT*ln(R0)-96049800*L^2*Br*NT^2*ln(h)*R0^2+24012450*Br*NT^2*ln(h)*R0^2*h^2+1536796800*L^4*Br*NB*NT*ln(h)+5336100*Br*NT^2*ln(h)*R0^3*h-24012450*Br*NT^2*ln(R0)*R0^2*h^2)*r^8/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-5138546688*L^4*Br*NB*NT*ln(h)*R0-5138546688*L^4*Br*NB*NT*ln(h)*h+5138546688*L^4*Br*NB*NT*ln(R0)*R0+5138546688*L^4*Br*NB*NT*ln(R0)*h+5138546688*L^4*Br*NT^2*ln(h)*R0+5138546688*L^4*Br*NT^2*ln(h)*h-5138546688*L^4*Br*NT^2*ln(R0)*R0-5138546688*L^4*Br*NT^2*ln(R0)*h+5138546688*L^4*Gr*NB^2*ln(h)*R0+5138546688*L^4*Gr*NB^2*ln(h)*h-5138546688*L^4*Gr*NB^2*ln(R0)*R0-5138546688*L^4*Gr*NB^2*ln(R0)*h-5138546688*L^4*Gr*NB*NT*ln(h)*R0-5138546688*L^4*Gr*NB*NT*ln(h)*h+5138546688*L^4*Gr*NB*NT*ln(R0)*R0+5138546688*L^4*Gr*NB*NT*ln(R0)*h)*r^7/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(341510400*L^2*Gr*NB*NT*ln(R0)*R0*h^3+1536796800*L^2*Gr*NB*NT*ln(R0)*R0^2*h^2-1536796800*L^2*Gr*NB*NT*ln(h)*R0^2*h^2-341510400*L^2*Gr*NB*NT*ln(h)*R0^3*h-341510400*L^2*Gr*NB*NT*ln(r)*R0*h^3+341510400*L^2*Gr*NB*NT*ln(r)*R0^3*h-12294374400*L^4*Gr*NB*NT*ln(R0)*R0*h+12294374400*L^4*Gr*NB*NT*ln(h)*R0*h+341510400*L^2*Br*NB*NT*ln(R0)*R0*h^3+1536796800*L^2*Br*NB*NT*ln(R0)*R0^2*h^2-1536796800*L^2*Br*NB*NT*ln(h)*R0^2*h^2-341510400*L^2*Br*NB*NT*ln(h)*R0^3*h-341510400*L^2*Br*NB*NT*ln(r)*R0*h^3+341510400*L^2*Br*NB*NT*ln(r)*R0^3*h+341510400*L^2*Gr*NB*NT*ln(R0)*h^4-341510400*L^2*Gr*NB*NT*ln(h)*R0^4-341510400*L^2*Gr*NB*NT*ln(r)*h^4+341510400*L^2*Gr*NB*NT*ln(r)*R0^4-341510400*L^2*Gr*NB^2*ln(R0)*R0*h^3-12294374400*L^4*Br*NB*NT*ln(R0)*R0*h+12294374400*L^4*Br*NB*NT*ln(h)*R0*h-1536796800*L^2*Gr*NB^2*ln(R0)*R0^2*h^2+1536796800*L^2*Gr*NB^2*ln(h)*R0^2*h^2+341510400*L^2*Gr*NB^2*ln(h)*R0^3*h+341510400*L^2*Gr*NB^2*ln(r)*R0*h^3-341510400*L^2*Gr*NB^2*ln(r)*R0^3*h-6147187200*L^4*Gr*NB*NT*ln(R0)*h^2-6147187200*L^4*Gr*NB*NT*ln(R0)*R0^2+6147187200*L^4*Gr*NB*NT*ln(h)*h^2+6147187200*L^4*Gr*NB*NT*ln(h)*R0^2+12294374400*L^4*Gr*NB^2*ln(R0)*R0*h-12294374400*L^4*Gr*NB^2*ln(h)*R0*h-341510400*L^2*Br*NT^2*ln(R0)*R0*h^3-1536796800*L^2*Br*NT^2*ln(R0)*R0^2*h^2+1536796800*L^2*Br*NT^2*ln(h)*R0^2*h^2+341510400*L^2*Br*NT^2*ln(h)*R0^3*h+341510400*L^2*Br*NT^2*ln(r)*R0*h^3-341510400*L^2*Br*NT^2*ln(r)*R0^3*h+341510400*L^2*Br*NB*NT*ln(R0)*h^4-341510400*L^2*Br*NB*NT*ln(h)*R0^4-341510400*L^2*Br*NB*NT*ln(r)*h^4+341510400*L^2*Br*NB*NT*ln(r)*R0^4+12294374400*L^4*Br*NT^2*ln(R0)*R0*h-12294374400*L^4*Br*NT^2*ln(h)*R0*h-6147187200*L^4*Br*NB*NT*ln(R0)*h^2-6147187200*L^4*Br*NB*NT*ln(R0)*R0^2+6147187200*L^4*Br*NB*NT*ln(h)*h^2+6147187200*L^4*Br*NB*NT*ln(h)*R0^2+626102400*L^2*Br*NT^2*R0^3*h-626102400*L^2*Br*NT^2*R0*h^3-626102400*L^2*Br*NB*NT*R0^4+626102400*L^2*Br*NB*NT*h^4+626102400*L^2*Gr*NB*NT*h^4-626102400*L^2*Gr*NB^2*R0*h^3+626102400*L^2*Gr*NB^2*R0^3*h-626102400*L^2*Gr*NB*NT*R0^4-6147187200*L^4*Gr*NB^2*ln(h)*h^2+6147187200*L^4*Gr*NB^2*ln(R0)*R0^2-6147187200*L^4*Gr*NB^2*ln(h)*R0^2-341510400*L^2*Br*NT^2*ln(R0)*h^4+341510400*L^2*Br*NT^2*ln(r)*h^4+341510400*L^2*Br*NT^2*ln(h)*R0^4-626102400*L^2*Gr*NB*NT*R0^3*h+626102400*L^2*Gr*NB*NT*R0*h^3-626102400*L^2*Br*NB*NT*R0^3*h+626102400*L^2*Br*NB*NT*R0*h^3+6147187200*L^4*Br*NT^2*ln(R0)*h^2-341510400*L^2*Br*NT^2*ln(r)*R0^4+6147187200*L^4*Br*NT^2*ln(R0)*R0^2-6147187200*L^4*Br*NT^2*ln(h)*R0^2-6147187200*L^4*Br*NT^2*ln(h)*h^2-341510400*L^2*Gr*NB^2*ln(R0)*h^4-393419980800*c2*ln(h)*ln(r)*L^2*NB+393419980800*c2*ln(R0)*ln(r)*L^2*NB-341510400*L^2*Gr*NB^2*ln(r)*R0^4+341510400*L^2*Gr*NB^2*ln(r)*h^4+341510400*L^2*Gr*NB^2*ln(h)*R0^4+6147187200*L^4*Gr*NB^2*ln(R0)*h^2-626102400*L^2*Gr*NB^2*h^4+626102400*L^2*Br*NT^2*R0^4-626102400*L^2*Br*NT^2*h^4-393419980800*c1*ln(h)*L^2*NB+327849984000*c2*ln(h)*L^2*NB+98354995200*L^2*p*NB*ln(h)+393419980800*c1*ln(R0)*L^2*NB-327849984000*c2*ln(R0)*L^2*NB-98354995200*L^2*p*NB*ln(R0)+626102400*L^2*Gr*NB^2*R0^4)*r^6/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-3540779827200*c3*L^2*NB*ln(h)+3540779827200*c3*L^2*NB*ln(R0)+12294374400*L^4*Br*NT^2*ln(h)*R0^3*h+55324684800*L^4*Br*NT^2*ln(h)*R0^2*h^2-55324684800*L^4*Br*NT^2*ln(R0)*R0^2*h^2-12294374400*L^4*Br*NT^2*ln(R0)*R0*h^3-12294374400*L^4*Gr*NB^2*ln(r)*R0^3*h+12294374400*L^4*Gr*NB^2*ln(r)*R0*h^3+12294374400*L^4*Gr*NB^2*ln(h)*R0^3*h+55324684800*L^4*Gr*NB^2*ln(h)*R0^2*h^2-55324684800*L^4*Gr*NB^2*ln(R0)*R0^2*h^2-12294374400*L^4*Gr*NB^2*ln(R0)*R0*h^3+12294374400*L^4*Gr*NB*NT*ln(r)*R0^4-12294374400*L^4*Gr*NB*NT*ln(r)*h^4-12294374400*L^4*Gr*NB*NT*ln(h)*R0^4+12294374400*L^4*Gr*NB*NT*ln(R0)*h^4+12294374400*L^4*Br*NB*NT*ln(r)*R0^4-12294374400*L^4*Br*NB*NT*ln(r)*h^4-12294374400*L^4*Br*NB*NT*ln(h)*R0^4+12294374400*L^4*Br*NB*NT*ln(R0)*h^4-12294374400*L^4*Br*NT^2*ln(r)*R0^3*h+12294374400*L^4*Br*NT^2*ln(r)*R0*h^3-18441561600*L^4*Gr*NB*NT*R0^3*h+18441561600*L^4*Gr*NB*NT*R0*h^3-18441561600*L^4*Br*NB*NT*R0^3*h+18441561600*L^4*Br*NB*NT*R0*h^3+12294374400*L^4*Br*NB*NT*ln(R0)*R0*h^3+12294374400*L^4*Gr*NB*NT*ln(r)*R0^3*h-12294374400*L^4*Gr*NB*NT*ln(r)*R0*h^3-12294374400*L^4*Gr*NB*NT*ln(h)*R0^3*h-55324684800*L^4*Gr*NB*NT*ln(h)*R0^2*h^2+55324684800*L^4*Gr*NB*NT*ln(R0)*R0^2*h^2+12294374400*L^4*Gr*NB*NT*ln(R0)*R0*h^3-18441561600*L^4*Gr*NB^2*R0*h^3+18441561600*L^4*Gr*NB*NT*h^4+18441561600*L^4*Br*NB*NT*h^4-18441561600*L^4*Br*NB*NT*R0^4-18441561600*L^4*Br*NT^2*R0*h^3+18441561600*L^4*Br*NT^2*R0^3*h-12294374400*L^4*Gr*NB^2*ln(R0)*h^4-14163119308800*L^4*c2*ln(r)*NB*ln(h)+14163119308800*L^4*c2*ln(r)*NB*ln(R0)-3540779827200*c4*ln(r)*L^2*NB*ln(h)+3540779827200*c4*ln(r)*L^2*NB*ln(R0)-18441561600*L^4*Gr*NB*NT*R0^4+18441561600*L^4*Gr*NB^2*R0^3*h-12294374400*L^4*Br*NT^2*ln(r)*R0^4+12294374400*L^4*Br*NT^2*ln(r)*h^4+12294374400*L^4*Br*NT^2*ln(h)*R0^4-12294374400*L^4*Br*NT^2*ln(R0)*h^4-12294374400*L^4*Gr*NB^2*ln(r)*R0^4+12294374400*L^4*Gr*NB^2*ln(r)*h^4+12294374400*L^4*Gr*NB^2*ln(h)*R0^4+55324684800*L^4*Br*NB*NT*ln(R0)*R0^2*h^2-55324684800*L^4*Br*NB*NT*ln(h)*R0^2*h^2-12294374400*L^4*Br*NB*NT*ln(h)*R0^3*h-12294374400*L^4*Br*NB*NT*ln(r)*R0*h^3+12294374400*L^4*Br*NB*NT*ln(r)*R0^3*h+18441561600*L^4*Gr*NB^2*R0^4-18441561600*L^4*Gr*NB^2*h^4+18441561600*L^4*Br*NT^2*R0^4-3540779827200*L^4*p*NB*ln(R0)+5311169740800*c4*ln(h)*L^2*NB-5311169740800*c4*ln(R0)*L^2*NB-18441561600*L^4*Br*NT^2*h^4-14163119308800*L^4*c1*NB*ln(h)+7081559654400*L^4*c2*ln(h)*NB+3540779827200*L^4*p*NB*ln(h)+14163119308800*L^4*c1*NB*ln(R0)-7081559654400*L^4*c2*ln(R0)*NB)*r^4/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-226609908940800*L^6*c2*ln(r)*NB*ln(h)+226609908940800*L^6*c2*ln(r)*NB*ln(R0)-226609908940800*L^6*c1*NB*ln(h)+226609908940800*L^6*c1*NB*ln(R0)-56652477235200*L^4*c4*ln(r)*NB*ln(h)+56652477235200*L^4*c4*ln(r)*NB*ln(R0)-56652477235200*L^4*c3*NB*ln(h)+56652477235200*L^4*c4*ln(h)*NB+56652477235200*L^4*c3*NB*ln(R0)-56652477235200*L^4*c4*ln(R0)*NB)*r^2/(L^6*NB*(ln(h)-ln(R0)))-(1/226609908940800)*(-226609908940800*L^6*c4*ln(r)*NB*ln(h)+226609908940800*L^6*c4*ln(r)*NB*ln(R0)-226609908940800*L^6*c3*NB*ln(h)+226609908940800*L^6*c3*NB*ln(R0))/(L^6*NB*(ln(h)-ln(R0)))):

NULL


 

Download vel.mw

 

hi

I want to equating coefficients of like powers of  in expr732vc and expr732wc, but

this error is appeared.please help me.

Error, unable to compute coeff
3.mw
 

restart;intSet:={int1,int2}

{int1, int2}

(1)

expr732 := 120000*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), x, x))+1200*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))+96.0000*(diff(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[0])+epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1])), x, x))+.9600*(diff(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1])), x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))+.9600*(diff(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1])), x, x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))-(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[0], T[0]))-epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1], T[0]))-epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1], T[0])+epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1], T[1]))), .9600*(diff(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[0])+epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1])), x, x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))+.9600*(diff(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[0])+epsilon*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), T[1])), x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))+0.192e-1*(diff(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1])), x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))+0.96e-2*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))^2*(diff(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1])), x, x))+1200*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))+1200*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))*(diff(v[0](x, T[0], T[1])+epsilon*v[1](x, T[0], T[1]), x))+18*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x))^2*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x))-1.3943*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), x, x, x, x))-0.111544e-2*(diff(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1])), x, x, x, x))+10-(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[0], T[0]))-epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1], T[0]))-epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1], T[0])+epsilon*(diff(w[0](x, T[0], T[1])+epsilon*w[1](x, T[0], T[1]), T[1], T[1]))):

expr732va := 1.20000*10^5*(diff(v[0](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[0](x, T[0], T[1]), T[0], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[0](x, T[0], T[1]), T[0], T[0]))+1.20000*10^5*(diff(v[1](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+1200.*(diff(w[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[1](x, T[0], T[1]), T[0], x, x))+96.0000*(diff(v[0](x, T[0], T[1]), T[1], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x)+diff(w[0](x, T[0], T[1]), T[1], x)))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[1](x, T[0], T[1]), x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x, x)+diff(w[0](x, T[0], T[1]), T[1], x, x)))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[1](x, T[0], T[1]), T[0], T[0]))-2.*(diff(v[0](x, T[0], T[1]), T[1], T[0])):

expr732vb1:=select(has,expr732[1],intSet)

0

(2)

expr732vb:=convert(series(map(s->remove(has,s,intSet)*subs(epsilon=0,select(has,s,intSet)),expr732vb1),epsilon,2),polynom);

0 = 0

(3)

expr732vc := 1.20000*10^5*(diff(v[0](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[0](x, T[0], T[1]), T[0], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[0](x, T[0], T[1]), T[0], T[0]))+(1.20000*10^5*(diff(v[1](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+1200.*(diff(w[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[1](x, T[0], T[1]), T[0], x, x))+96.0000*(diff(v[0](x, T[0], T[1]), T[1], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x)+diff(w[0](x, T[0], T[1]), T[1], x)))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[1](x, T[0], T[1]), x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x, x)+diff(w[0](x, T[0], T[1]), T[1], x, x)))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[1](x, T[0], T[1]), T[0], T[0]))-2.*(diff(v[0](x, T[0], T[1]), T[1], T[0])))*epsilon = 1.20000*10^5*(diff(v[0](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[0](x, T[0], T[1]), T[0], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[0](x, T[0], T[1]), T[0], T[0]))+(1.20000*10^5*(diff(v[1](x, T[0], T[1]), x, x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+1200.*(diff(w[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+96.0000*(diff(v[1](x, T[0], T[1]), T[0], x, x))+96.0000*(diff(v[0](x, T[0], T[1]), T[1], x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x)+diff(w[0](x, T[0], T[1]), T[1], x)))*(diff(w[0](x, T[0], T[1]), x, x))+.9600*(diff(w[0](x, T[0], T[1]), T[0], x, x))*(diff(w[1](x, T[0], T[1]), x))+(.9600*(diff(w[1](x, T[0], T[1]), T[0], x, x)+diff(w[0](x, T[0], T[1]), T[1], x, x)))*(diff(w[0](x, T[0], T[1]), x))-1.*(diff(v[1](x, T[0], T[1]), T[0], T[0]))-2.*(diff(v[0](x, T[0], T[1]), T[1], T[0])))*epsilon:

expr732wa:=convert(series(remove(has,expr732[2],intSet),epsilon,2),polynom):

expr732wb1:=select(has,expr732[2],intSet)

0

(4)

expr732wb:=convert(series(map(s->remove(has,s,intSet)*subs(epsilon=0,select(has,s,intSet)),expr732wb1),epsilon,2),polynom)

0 = 0

(5)

expr732wc := .9600*(diff(v[0](x, T[0], T[1]), T[0], x, x))*(diff(w[0](x, T[0], T[1]), x))+.9600*(diff(v[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+0.96e-2*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[0](x, T[0], T[1]), T[0], x, x))+1200.*(diff(v[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(v[0](x, T[0], T[1]), x))+18.*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[0](x, T[0], T[1]), x, x))-1.3943*(diff(w[0](x, T[0], T[1]), x, x, x, x))-0.111544e-2*(diff(w[0](x, T[0], T[1]), T[0], x, x, x, x))+10.-1.*(diff(w[0](x, T[0], T[1]), T[0], T[0]))+(.9600*(diff(v[0](x, T[0], T[1]), T[0], x, x))*(diff(w[1](x, T[0], T[1]), x))+(.9600*(diff(v[1](x, T[0], T[1]), T[0], x, x)+diff(v[0](x, T[0], T[1]), T[1], x, x)))*(diff(w[0](x, T[0], T[1]), x))+.9600*(diff(v[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(.9600*(diff(v[1](x, T[0], T[1]), T[0], x)+diff(v[0](x, T[0], T[1]), T[1], x)))*(diff(w[0](x, T[0], T[1]), x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+(0.192e-1*((diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(diff(w[1](x, T[0], T[1]), T[0], x)+diff(w[0](x, T[0], T[1]), T[1], x))*(diff(w[0](x, T[0], T[1]), x, x))))*(diff(w[0](x, T[0], T[1]), x))+0.96e-2*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[1](x, T[0], T[1]), T[0], x, x)+diff(w[0](x, T[0], T[1]), T[1], x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), x))*(diff(w[1](x, T[0], T[1]), x))*(diff(w[0](x, T[0], T[1]), T[0], x, x))+1200.*(diff(v[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+1200.*(diff(v[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(v[1](x, T[0], T[1]), x))+1200.*(diff(w[1](x, T[0], T[1]), x, x))*(diff(v[0](x, T[0], T[1]), x))+18.*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[1](x, T[0], T[1]), x, x))+36.*(diff(w[0](x, T[0], T[1]), x))*(diff(w[1](x, T[0], T[1]), x))*(diff(w[0](x, T[0], T[1]), x, x))-1.3943*(diff(w[1](x, T[0], T[1]), x, x, x, x))-0.111544e-2*(diff(w[1](x, T[0], T[1]), T[0], x, x, x, x))-0.111544e-2*(diff(w[0](x, T[0], T[1]), T[1], x, x, x, x))-1.*(diff(w[1](x, T[0], T[1]), T[0], T[0]))-2.*(diff(w[0](x, T[0], T[1]), T[1], T[0])))*epsilon = .9600*(diff(v[0](x, T[0], T[1]), T[0], x, x))*(diff(w[0](x, T[0], T[1]), x))+.9600*(diff(v[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+0.96e-2*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[0](x, T[0], T[1]), T[0], x, x))+1200.*(diff(v[0](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(v[0](x, T[0], T[1]), x))+18.*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[0](x, T[0], T[1]), x, x))-1.3943*(diff(w[0](x, T[0], T[1]), x, x, x, x))-0.111544e-2*(diff(w[0](x, T[0], T[1]), T[0], x, x, x, x))+10.-1.*(diff(w[0](x, T[0], T[1]), T[0], T[0]))+(.9600*(diff(v[0](x, T[0], T[1]), T[0], x, x))*(diff(w[1](x, T[0], T[1]), x))+(.9600*(diff(v[1](x, T[0], T[1]), T[0], x, x)+diff(v[0](x, T[0], T[1]), T[1], x, x)))*(diff(w[0](x, T[0], T[1]), x))+.9600*(diff(v[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(.9600*(diff(v[1](x, T[0], T[1]), T[0], x)+diff(v[0](x, T[0], T[1]), T[1], x)))*(diff(w[0](x, T[0], T[1]), x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+(0.192e-1*((diff(w[0](x, T[0], T[1]), T[0], x))*(diff(w[1](x, T[0], T[1]), x, x))+(diff(w[1](x, T[0], T[1]), T[0], x)+diff(w[0](x, T[0], T[1]), T[1], x))*(diff(w[0](x, T[0], T[1]), x, x))))*(diff(w[0](x, T[0], T[1]), x))+0.96e-2*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[1](x, T[0], T[1]), T[0], x, x)+diff(w[0](x, T[0], T[1]), T[1], x, x))+0.192e-1*(diff(w[0](x, T[0], T[1]), x))*(diff(w[1](x, T[0], T[1]), x))*(diff(w[0](x, T[0], T[1]), T[0], x, x))+1200.*(diff(v[0](x, T[0], T[1]), x, x))*(diff(w[1](x, T[0], T[1]), x))+1200.*(diff(v[1](x, T[0], T[1]), x, x))*(diff(w[0](x, T[0], T[1]), x))+1200.*(diff(w[0](x, T[0], T[1]), x, x))*(diff(v[1](x, T[0], T[1]), x))+1200.*(diff(w[1](x, T[0], T[1]), x, x))*(diff(v[0](x, T[0], T[1]), x))+18.*(diff(w[0](x, T[0], T[1]), x))^2*(diff(w[1](x, T[0], T[1]), x, x))+36.*(diff(w[0](x, T[0], T[1]), x))*(diff(w[1](x, T[0], T[1]), x))*(diff(w[0](x, T[0], T[1]), x, x))-1.3943*(diff(w[1](x, T[0], T[1]), x, x, x, x))-0.111544e-2*(diff(w[1](x, T[0], T[1]), T[0], x, x, x, x))-0.111544e-2*(diff(w[0](x, T[0], T[1]), T[1], x, x, x, x))-1.*(diff(w[1](x, T[0], T[1]), T[0], T[0]))-2.*(diff(w[0](x, T[0], T[1]), T[1], T[0])))*epsilon:

eqEps:=seq(convert(map(s->coeff(s,epsilon,i)=0,[expr732vc,expr732wc]),exp),i=0..1)

Error, unable to compute coeff

 

``

``


 

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I want to see that if parameter 'alpha' tends to the infinity amount of parameter 'p' how changes?

how I can see and do  this process?

thanks

_nahaii.mw
 

alfa*ba*che*taghiiri*roi*p*taghiir*mikonad

restart

E := 67*10^9:

``

h := 8*10^(-9):

l := 2.5*10^(-9):

f := 5:

L := 120*10^(-9):

``

b1 := -E*h*b:

b2 := -(1/4)*mu*h*b:

c1 := -(1/12)*(E*1)*b*h^3-2*mu*l^2*h*b-(2/25)*mu*l^2*h*b-(4/15)*mu*l^2*h*b-(32/15)*mu*l^2*h*b:

c2 := (18/5)*mu*l^2*i+(4/5)*mu*l^2*i:

c4 := (152/225)*mu*l^2*h*b:

NULL

a1 := -E*h*b:

a2 := 2*mu*l^2*h*b+(4/5)*mu*l^2*h*b+(8/5)*mu*l^2*h*b:

c5 := c1+c4-2*f^2*h*varepsilon0/(3*(alpha*varepsilon0+1))-2*f^2*h/(3*alpha*(alpha*varepsilon0+1)):

c6 := c4-2*f^2*h*varepsilon0/(3*(alpha*varepsilon0+1)):

c7 := (14/9)*f^2*h/alpha:

``

m := 2*3.14^2*c7^2+8*L^2*b2*c7-2*L^2*c5^2+2*L^2*c5*c6-L^2*c7:

n := 4*L^2*c6^2*c7^2*3.14^2+16*L^4*b2*c6^2*c7-4*L^4*b2*c5*c6*c7+L^4*c7^2:

q := (3.14^2*c7^2+4*L^2*b2*c7-L^2*c5^2)/b2:

p := -(1/2)*(m-sqrt(n))/q:

plot(p, alpha, alpha = 0.1e7 .. 0.1e8)

 

NULL


 

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