Numerical Solution of Heat Equation with Singular Robin Boundary Condition

Authors

DOI:

https://doi.org/10.5540/tema.2018.019.02.209

Keywords:

Eigenvalue Problems, Finite Difference Method, Robin Boundary Conditions, Numerical Solutions

Abstract

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

Author Biographies

German Lozada-Cruz, S~ao Paulo State University - UNESP.

Institute of Biosciences,
Humanities and Exact Sciences, Departament of Mathematics.

Cosme Eustaquio Rubio-Mercedes, Mato Grosso do Sul State University - UEMS

Engineering Physics Programs

Junior Rodrigues-Ribeiro, São Paulo State University - USP

Institute of Mathematics Sciences and Computing

References

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Published

2018-09-12

How to Cite

Lozada-Cruz, G., Rubio-Mercedes, C. E., & Rodrigues-Ribeiro, J. (2018). Numerical Solution of Heat Equation with Singular Robin Boundary Condition. Trends in Computational and Applied Mathematics, 19(2), 209. https://doi.org/10.5540/tema.2018.019.02.209

Issue

Vol. 19 No. 2 (2018)

Section

Original Article

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