I've been struggling the last weekend with solving the following heat equation:
Here's my attempt:
Clear["Global'*"]
a=0.05;b=0.1; h0=1025; rho=2200; k=0.35; cp=1000; alpha=k/(rho*cp);
pde =( D[T[t,x,y], {x, 2}] + D[T[t, x,y], {y, 2}])*alpha == D[T[t, x,y], {t, 1}];
bc = {T[t>0.00001,0,y]==T[t>0.0001,a,y]==T[t>0.00001,x,0]==T[t>0.00001,x,b]==333, T[0,x,y]==300};
soln = NDSolveValue[{pde, bc}, T[t,x, y], {x, 0, a}, {y, 0, b},{t,0,80000}]
soln[60,a/2,b/2]
I'm new to Wolfram Mathematica and would appreciate any help.