An almost fourth order uniformly convergent domain decomposition method for a coupled system of singularly perturbed reaction-diffusion equations

DOI10.1016/j.cam.2011.01.047zbMath1221.65179OpenAlexW2030298437MaRDI QIDQ535464

S. Chandra Sekhara Rao, Sunil Kumar

Publication date: 11 May 2011

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.2011.01.047

zbMATH Keywords

singular perturbationuniform convergencedomain decompositionspline approximationboundary value problemreaction-diffusion equationsdiscrete Schwarz methodhigh order

Mathematics Subject Classification ID

Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (14)

A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems ⋮ A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems ⋮ Spline-based parameter-uniform scheme for fourth-order singularly perturbed differential equations ⋮ Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions ⋮ High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers ⋮ A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems ⋮ An analysis of overlapping domain decomposition methods for singularly perturbed reaction-diffusion problems ⋮ Unnamed Item ⋮ A robust domain decomposition algorithm for singularly perturbed semilinear systems ⋮ Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations ⋮ Unnamed Item ⋮ AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED FOURTH-ORDER CONVECTION-DIFFUSION TYPE ⋮ A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation

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