A Nonstandard Finite Difference Scheme for Solving One Dimensional Nonlinear Heat Transfer

DOI10.1080/10236190412331272625zbMath1062.65082OpenAlexW2032342706MaRDI QIDQ4653101

S. Su, Weizhong Dai

Publication date: 28 February 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190412331272625

zbMATH Keywords

initial-boundary value problemnumerical examplespositivitytemperature distributionquartic nonlinearitythermal radiationheat conduction equationnonstandard finite difference scheme

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (4)

A non-standard finite difference scheme for convection in a porous cavity ⋮ On the use of nonstandard finite difference methods† ⋮ Nonstandard finite difference approximation for a generalized fins problem ⋮ Stable non-standard implicit finite difference schemes for non-linear heat transfer in a thin finite rod

Cites Work

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• A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates
• CONSTRUCTION AND ANALYSIS OF A NON-STANDARD FINITE DIFFERENCE SCHEME FOR THE BURGERS–FISHER EQUATION
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• A Nonstandard Finite Difference Scheme for Nonlinear Heat Transfer in a Thin Finite Rod
• An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film

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