A new stable variable mesh method for 1D nonlinear parabolic partial differential equations

DOI10.1016/j.amc.2006.02.032zbMath1105.65089OpenAlexW2046907047MaRDI QIDQ856140

Samir Karaa, Urvashi Arora, Ranjan Kumar Mohanty

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.032

zbMATH Keywords

stabilityconvergencenonlinear parabolic equationnumerical examples

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) 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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A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation ⋮ Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions ⋮ Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations ⋮ On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

Cites Work

• Unnamed Item
• Unnamed Item
• A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point nonlinear boundary value problems
• A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation
• High order difference methods for system of id nonlinear parabolic partial differential equations
• Predictor-corrector methods for parabolic partial differential equations
• On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity
• AnO(K2 +h4) finite difference method for one-space Burger's equation in polar coordinates
• Convergent Finite Difference Schemes for Nonlinear Parabolic Equations
• On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations

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