Numerical methods for heat equation with variable coefficients

DOI10.1080/00207160801965172zbMath1172.65054OpenAlexW2079461041MaRDI QIDQ3396422

Muhammad Munir Butt, Malik Shahadat Ali Taj

Publication date: 18 September 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160801965172

zbMATH Keywords

algorithmsstabilityheat equationnumerical examplesfinite differencesmethod of linesvariable coefficientsnon-linear heat equationrational approximation with distinct real poles

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

Numerical solution of transient heat conduction equation with variable thermophysical properties by the Tau method

Cites Work

• Exact solutions for heat-like and wave-like equations with variable coefficients.
• Solution of linear and nonlinear parabolic equations by the decomposition method
• A family of third-order parallel splitting methods for parabolic partial differential equations

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