## 5 Reputation

5 years, 242 days

## Nonlinear equation system with perfect t...

Maple 7

numeric.mws

Dear Colleagues,
Please give advice - How correct in Maple can be solve the heat nonlinear equation system with perfect thermal contact conditions?

Using procedure dsolve (numeric) Maple cannot determine type of problem (initial or boundary).

****
initial/boundary conditions specified at too many points 1
Error, (in dsolve/numeric/type_check) cannot determine type of problem (initial or boundary), as conditions are given at 4 points
****

In attachment Maple file - numeric.

Maybe anyone can get a simple exaple of the maple code for numeric solution of this  task?

 > restart;
 > k1:=5; k2:=7;k3:=8; Q:=4;p:=0.001;l:=0.1; d:=0.6;
 (1)
 > Eq1:=(k1^2)*diff(T1(x),x\$2)=0;
 >
 (2)
 > Eq2:=(k2^2)*diff(T2(x),x\$2)=-Q*Dirac(x)+T2(x)^4;
 (3)
 > Eq3:=(k3^2)*diff(T3(x),x\$2)=0;
 (4)
 > con1:=T1(0)=T2(0);con2:=T3(p)=T2(p); con3:=k1*(D(T1)(0))=Q-k2*(D(T2)(0)); con4:=k2*(D(T2)(p))=k3*(D(T3)(p)); con5:= T3(l)=300; con6:=T1(-d)=300;
 (5)
 > nsol:=dsolve({Eq1, Eq2, Eq3,con1,con2,con3,con4,con5,con6},{T1(x),T2(x),T3(x)}, numeric,bvp);
 >
 >
 initial/boundary conditions specified at too many points 1 Error, (in dsolve/numeric/type_check) cannot determine type of problem (initial or boundary), as conditions are given at 4 points
 >