Moving collocation method for a reaction-diffusion equation with a traveling heat source

DOI10.1002/NUM.21788zbMath1279.65122OpenAlexW1979406827WikidataQ115398247 ScholiaQ115398247MaRDI QIDQ2864604

Kewei Liang, Hancan Zhu

Publication date: 26 November 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21788

zbMATH Keywords

comparison of methodsnumerical experimentsblow-upmethod of linesreaction-diffusion equationmoving collocation methodlocal absorbing boundary conditionstraveling heat sourcemoving finite difference method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain ⋮ Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain

Uses Software

• MOVCOL

Cites Work

• Analysis of a moving collocation method for one-dimensional partial differential equations
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• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Moving Mesh Methods for Problems with Blow-Up

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