A finite difference method for a non-local boundary value problem for two-dimensional heat equation

A second-order finite difference scheme is given for the numerical solution of a two-dimensional non-local boundary value problem for heat equation. Using a suitable transformation, the solution of this problem is equivalent to the solution of two other problems. The first problem which is a one-dim...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 112; no. 1; pp. 133 - 142
Main Author:	Dehghan, Mehdi
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01.06.2000 Elsevier
Subjects:	Chemistry Exact sciences and technology Finite difference techniques General and physical chemistry Global analysis, analysis on manifolds Heat conduction equation Mathematical analysis Mathematics Modified equivalent analysis Non-local boundary value problems Nuemann's boundary conditions Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Numerical integration procedures Partial differential equations Sciences and techniques of general use The range of stability Theory of reactions, general kinetics Theory of reactions, general kinetics. Catalysis. Nomenclature, chemical documentation, computer chemistry Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds The range of stability Partial differential equations Non-local boundary value problems Heat conduction equation Numerical integration procedures Finite difference techniques Nuemann's boundary conditions Modified equivalent analysis Neumann problem Numerical integration Boundary value problem Stability Heat equation Numerical solution Diffusion equation Two dimensional model Partial differential equation Finite difference method
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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