Open AccessNumerical Solution of Heat Equation with Singular Robin Boundary Condition
Author(s) -
Germán Lozada-Cruz,
C. E. Rubio-Mercedes,
Junior R. Ribeiro
Publication year - 2018
Publication title -
tema
Language(s) - English
Resource type - Journals
eISSN - 2179-8451
pISSN - 1677-1966
DOI - 10.5540/tema.2018.019.02.209
Subject(s) - robin boundary condition , dirichlet boundary condition , mathematics , boundary value problem , mixed boundary condition , cauchy boundary condition , mathematical analysis , work (physics) , heat equation , boundary (topology) , poincaré–steklov operator , free boundary problem , differential equation , homogeneous , physics , combinatorics , thermodynamics
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