Numerical Solution of Heat Equation with Singular Robin Boundary Condition

Germán Lozada-Cruz, C. E. Rubio-Mercedes, Junior R. Ribeiro · TEMA (São Carlos) · 2018

In this work we study the numerical solution of one-dimensional heatdiffusion equation with a small positive parameter subject to Robin boundary conditions. The simulations examples lead us to conclude that the numerical solutionsof the differential equation with Robin boundary condition are very close of theanalytic solution of the problem with homogeneous Dirichlet boundary conditionswhen tends to zero

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