Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method

DOI10.1016/j.amc.2010.03.093zbMath1193.65156OpenAlexW2015256074MaRDI QIDQ984000

Gurhan Gurarslan

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.093

zbMATH Keywords

numerical examplessemidiscretizationnonlinear diffusion equationcompact schemesfinite difference scheme in spaceRunge-Kutta scheme in time

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (10)

Structural schemes for one dimension stationary equations ⋮ Mathematical modelling of nonlinear heat conduction with relaxing boundary conditions ⋮ A new simultaneously compact finite difference scheme for high-dimensional time-dependent PDEs ⋮ Modified variational iteration algorithm-II: convergence and applications to diffusion models ⋮ Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method ⋮ Approximate solutions of Fisher's type equations with variable coefficients ⋮ Application of compact finite-difference schemes to simulations of stably stratified fluid flows ⋮ Compact ETDRK scheme for nonlinear dispersive wave equations ⋮ Solution of fractional partial differential equations using iterative method ⋮ The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme

Uses Software

• FDL3DI

Cites Work

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