Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems

DOI10.1016/j.na.2009.01.210zbMath1238.65079OpenAlexW1964334897MaRDI QIDQ419974

S. Chandra Sekhara Rao, Mukesh Kumar

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.210

zbMATH Keywords

exponential splinesdiffusion problemsingular perturbation problem\(\epsilon \)-uniform convergencepiecewise-uniform Shishkin meshsemilinear reaction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (7)

A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution ⋮ A parameter-uniform B-spline collocation method for singularly perturbed semilinear reaction-diffusion problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers ⋮ Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers ⋮ High order robust approximations for singularly perturbed semilinear systems ⋮ Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term

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