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Question: How to solve PDE1 and PDE2 linear and non linear equation.... how to code ??/ plz guide

Question:How to solve PDE1 and PDE2 linear and non linear equation.... how to code ??/ plz guide

samen 30 Maple 15
syntax pde differential-equations
July 30 2018
1


 

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1 .. Nonlinear*Fractional*KdV*equation
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PDE1 := D[t]^alpha*u(x, t)-3*(u^2)[x]+u[xxx] = 0;

D[t]^alpha*u(x, t)-3*(u^2)[x]+u[xxx] = 0

 (1)
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"u(x,0)=6*x 0<alpha<=1, t>0"

Error, missing operation

"u(x,0)=6*x 0<alpha<=1, t>0"

  
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``
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``
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2.*linear*time*fractional*diffusion*equation

2.*linear*time*fractional*diffusion*equation

 (2)
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``
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PDE2 := diff(u(x, t), [`$`(t, alpha)]) = diff(u(x, t), x, x)

diff(u(x, t), [`$`(t, alpha)]) = diff(diff(u(x, t), x), x)

 (3)
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"IC:= u(x,0):=sinx , 0<alpha<=1 , t>0"

Error, unable to parse

"IC:= u(x,0):=sinx , 0<alpha<=1 , t>0"

  


 

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