Convergence of an \(O(h^4)\) scheme applied to a semi-linear parabolic equation

DOI10.1007/s13370-012-0098-2zbMath1304.65204OpenAlexW2464047104MaRDI QIDQ467945

Teko Ganakgomo Motsumi

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0098-2

zbMATH Keywords

maximum principlenumerical experimentorder of convergencesemi-linear parabolic equationfinite diffference method

Mathematics Subject Classification ID

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) Semilinear parabolic equations (35K58)

Uses Software

• Mathematica

Cites Work

• Solving the equation ?uxx ? ?uyy =f(x, y, u) by anO(h4) finite difference method
• On a Discrete Maximum Principle
• A strong maximum principle for parabolic equations
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