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Question: pdsolve 2d EQUATION

Question:pdsolve 2d EQUATION

torabi 85 Maple 2018
differential-equation pde numeric pdsolve
April 17 2019
0

how I can pdsolve this equation.

CV.mw
 

> 

restart; c__v := 1.2; `τ__q` := 8.5*10^(-12); `τ__T` := 90.0*10^(-12); rho := 1000; k := 10

1.2

  

0.8500000000e-11

  

0.9000000000e-10

 (1)
> 

k*(diff(T(x, t), x, x))+k*`τ__T`*(diff(T(x, t), t, x, x)) = rho*c__v*(diff(T(x, t), t))+(diff(T(x, t), t, t))*c__v*rho*`τ__q`+(1/2)*c__v*rho*`τ__q`^2*(diff(T(x, t), t, t, t))

10*(diff(diff(T(x, t), x), x))+0.9000000000e-9*(diff(diff(diff(T(x, t), t), x), x)) = 1200.0*(diff(T(x, t), t))+0.1020000000e-7*(diff(diff(T(x, t), t), t))+0.4335000000e-19*(diff(diff(diff(T(x, t), t), t), t))

 (2)

Boundary condition:

> 

T(0, t) = 300; T(10, t) = 300

#####################################

INITIAL CONDITIONS:

 

> 

T(x, 0) = 300; (D[1](T))(x, 0) = 0, (D[2](T))(x, 0) = 0

(D[1](T))(x, 0) = 0, (D[2](T))(x, 0) = 0

 (3)
> 

``


 

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