Numerical Solution of Heat Equation with Singular Robin Boundary Condition

G. LOZADA-CRUZ; C.E. RUBIO-MERCEDES; J. RODRIGUES-RIBEIRO

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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Numerical Solution of Heat Equation with Singular Robin Boundary Condition

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Author(s):	G. LOZADA-CRUZ ^[1] ; C.E. RUBIO-MERCEDES ^[2] ; J. RODRIGUES-RIBEIRO ^[3] Total Authors: 3
Affiliation:	^[1] Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas. Departamento de Matemática - Brasil ^[2] Universidade Estadual do Mato Grosso do Sul. Programa de Matemática e Engenharia Física - Brasil ^[3] Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação - Brasil Total Affiliations: 3
Document type:	Journal article
Source:	TEMA (São Carlos); v. 19, n. 2, p. 209-220, 2018-08-00.
Abstract
ABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin boundary condition are very close in certain sense of the analytic solution of the problem with homogeneous Dirichlet boundary conditions when ε tends to zero. (AU)

FAPESP's process:	15/24095-6 - Dynamics of reaction-diffusion equations in dumbbell domains under the spatial discretization
Grantee:	German Jesus Lozada Cruz
Support Opportunities:	Scholarships abroad - Research

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