I have a question about the heat equation, if we consider the non homogeneous problem: $$ u_{t}(x,t)=u_{x,x}(x,t) + f(x,t), \hspace{0.1cm} 0\leqslant x\leqslant L,\hspace{0.1cm} 0\leqslant t\leqslant T $$ $$u(0,t)=u(L,t)=0$$ $$u(x,0)=\phi(x)$$ When is guaranteed the convergence of the solution $u(x,t)$?
2026-04-09 17:25:43.1775755543
Solution of the heat equation: convergence
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