A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh

DOI10.1080/00207160.2015.1074682zbMath1356.65217OpenAlexW2280810644MaRDI QIDQ2957756

Swarn Singh, Ranjan Kumar Mohanty, Jyoti Talwar

Publication date: 27 January 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1074682

zbMATH Keywords

stabilityfinite difference methodBurgers' equationvariable meshnumerical resultquasi-linear parabolic equationsnon-polynomial splinespline in tension

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Quasilinear parabolic equations (35K59)

Related Items (5)

A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ Fourth-Order Numerical Scheme Based on Half-Step Non-Polynomial Spline Approximations for 1D Quasi-Linear Parabolic Equations ⋮ A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form ⋮ A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations ⋮ A new 2- level compact off-step implicit method in exponential form for the solution of fourth order nonlinear parabolic equations

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