A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations

DOI10.1016/j.amc.2009.03.001zbMath1167.65444OpenAlexW108075268MaRDI QIDQ1030219

Ranjan Kumar Mohanty

Publication date: 1 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.001

zbMATH Keywords

stabilityconvergencecomparison of methodsnonlinear parabolic equationheat equationnumerical examplesBurgers' equationvariable meshsingular equationsuccessive over relaxation methodoptimal relaxation parametercubic spline alternating group explicit (C-SPLAGE) method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Fourth-Order Numerical Scheme Based on Half-Step Non-Polynomial Spline Approximations for 1D Quasi-Linear Parabolic Equations ⋮ High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations ⋮ A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations ⋮ Application of AGE Method to High Accuracy Variable Mesh Arithmetic Average Type Discretization for 1D Non-linear Parabolic Initial Boundary Value Problems

Uses Software

• DAETS

Cites Work

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