Pointwise uniformly convergent numerical treatment for the non-stationary Burger–Huxley equation using grid equidistribution

DOI10.1080/00207160701314505zbMath1128.65075OpenAlexW2142547947MaRDI QIDQ5426321

Aditya Kaushik

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00207160701314505

zbMATH Keywords

stabilityconvergencesingular perturbationnumerical experimentsquasilinearizationsemidiscretizationfinite differencepointwise convergencegrid equidistributionBurger-Huxley equationEuler's implicit method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations ⋮ A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations ⋮ Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations ⋮ An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems ⋮ A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations ⋮ High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation ⋮ A higher order difference method for singularly perturbed parabolic partial differential equations ⋮ Numerical solutions of generalized Burgers–Fisher and generalized Burgers–Huxley equations using collocation of cubicB-splines

Cites Work

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• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• On the numerical integration of a class of singular perturbation problems
• A numerical solution of the generalized Burgers-Huxley equation by pseudospectral method and Darvishi's preconditioning
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
• Numerical integration of a differential-difference equation with a decreasing time-lag

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