High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations†

DOI10.1080/00207160801923049zbMath1172.65047OpenAlexW2068369814MaRDI QIDQ3396418

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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/10.1080/00207160801923049

zbMATH Keywords

convergencecomparison of methodsnumerical examplesalternating group explicit (AGE) methodsingular equationquasi-linear parabolic equationcubic spline methodNewton-AGE methodNewton-SOR iterative methodssuccessive over relaxation (SOR)

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) 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)

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