On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations

DOI10.1007/s11075-009-9341-9zbMath1197.65126OpenAlexW2035735868MaRDI QIDQ5962125

Ranjan Kumar Mohanty

Publication date: 16 September 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9341-9

zbMATH Keywords

numerical examplesBurgers' equationiterative methodsNewton methodalternating group explicit (AGE) methodinitial boudnary value problemlocal truncation errornon-linear parabolic equationnon-uniform meshNumerov type discretizationvariable mesh

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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