An exponential time differencing method of lines for Burgers-Fisher and coupled Burgers equations

DOI10.1016/j.cam.2019.01.028OpenAlexW2913512393WikidataQ115581045 ScholiaQ115581045MaRDI QIDQ2423677

A. G. Bratsos, Abdul Q. M. Khaliq

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.01.028

zbMATH Keywords

method of linesfinite-difference schemeBurgers-Fisher equationcoupled Burgers equationexponential time differencing schememodified predictor-corrector method

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

Periodic wave solution of the generalized Burgers-Fisher equation via abelian integral ⋮ Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions ⋮ Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation ⋮ Global existence and uniqueness of a periodic wave solution of the generalized Burgers-Fisher equation ⋮ Novel comparison of numerical and analytical methods for fractional Burger-Fisher equation ⋮ Numerical approximation of generalized Burger's-Fisher and generalized Burger's-Huxley equation by compact finite difference method ⋮ A new approach for the coupled advection-diffusion processes including source effects

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