A robust domain decomposition algorithm for singularly perturbed semilinear systems

DOI10.1080/00207160.2016.1184257zbMath1378.65151OpenAlexW2404931161MaRDI QIDQ4976310

S. Chandra Sekhara Rao, Sunil Kumar

Publication date: 28 July 2017

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

Full work available at URL: https://doi.org/10.1080/00207160.2016.1184257

zbMATH Keywords

algorithmconvergencedomain decompositionShishkin meshesnumerical experimenttwo-point boundary value problemsparameter-uniform error estimatessingularly perturbed system of semilinear reaction-diffusion BVPs

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers ⋮ Parameter-uniform convergence of a numerical method for a coupled system of singularly perturbed semilinear reaction-diffusion equations with boundary and interior layers ⋮ A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems ⋮ Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms ⋮ 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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