A compact fourth-order \(L\)-stable scheme for reaction-diffusion systems with nonsmooth data

DOI10.1016/j.cam.2015.11.046zbMath1382.65234OpenAlexW2217335735MaRDI QIDQ5962597

Harish P. Bhatt, Abdul Q. M. Khaliq

Publication date: 15 February 2016

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.2015.11.046

zbMATH Keywords

Padé approximationnonsmooth dataGray-Scott modelexponential time differencingFitzHugh-Nagumo equationsMatlabMPI

Mathematics Subject Classification ID

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

Convergence analysis and error estimate of second-order implicit–explicit scheme for Gray-Scott model ⋮ Traveling-wave solutions of a generalized damped wave equation with time-dependent coefficients through the trial equation method ⋮ A compact ADI finite difference method for 2D reaction-diffusion equations with variable diffusion coefficients ⋮ Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions ⋮ The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme ⋮ A nonlinear splitting algorithm for systems of partial differential equations with self-diffusion

Uses Software

• Matlab
• MatlabMPI

Cites Work

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