Question

How to solve numerically or analytically this Partial Differential Equation?

Answer 1

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✔️✔️${\mathbb{CORRECT... ANSWER}}$✔️✔️

✔️✔️∂u(t,x,y)∂t=D(∂2u(t,x,y)∂x2+∂2u(t,x,y)∂y2)+r u(t,x,y),∂u(t,x,y)∂t=D(∂2u(t,x,y)∂x2+∂2u(t,x,y)∂y2)+r u(t,x,y),

where DD is the diffusion coeficient and the rr is a reaction coefficient or born rate (both constants).


My boundary conditions are:

∂u(t,0,y)∂x=∂u(t,x,0)∂y=∂u(t,a,y)∂x=∂u(t,x,b)∂y=0,∂u(t,0,y)∂x=∂u(t,x,0)∂y=∂u(t,a,y)∂x=∂u(t,x,b)∂y=0, and my inicial condition is: u(0,x,y)=u0δ(x),u(0,x,y)=u0δ(x),


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Answer 2

Hey there !

It's the answer in given attachment !

Thank you