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Question: I want the numerical values of the partial derivative of u w.r.t "y" for some fix values of y and t .

Question:I want the numerical values of the partial derivative of u w.r.t "y" for some fix values of y and t .

Moqifang 25 Maple 2021
syntax differentiation pde numeric pdsolve differential-equations
August 23 2022
3

``

> 

restart:
> 

 

> 

N:=10

10

 (1)
> 

PDE:=diff(u(y, t), t) = diff(u(y, t), y, y)

diff(u(y, t), t) = diff(diff(u(y, t), y), y)

 (2)
> 

 

> 

ICBC:= {u(y,0) = 0, u(0,t) = cos(t), u(N, t) = 0};

{u(0, t) = cos(t), u(10, t) = 0, u(y, 0) = 0}

 (3)
> 

 

> 

sol1:=pdsolve(PDE,ICBC,numeric,spacestep=0.025,timestep=0.00001):
> 

u_at_1 := sol1:-value(u(y,t), t=0.1);

Error, missing operator or `;`

  
> 

u_at_1(0);

[y = 0., t = .1, u(y, t) = HFloat(0.9950041652780257)]

 (4)

NULL

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