Analysis of an almost fourth-order parameter-uniformly convergent numerical method for singularly perturbed semilinear reaction-diffusion system with non-smooth source term

DOI10.1016/J.AMC.2022.126944OpenAlexW4210251124MaRDI QIDQ2079133

Abhay Kumar Chaturvedi, S. Chandra Sekhara Rao

Publication date: 4 March 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.126944

zbMATH Keywords

finite difference methodboundary layersreaction-diffusionsemilinear problemssingularly perturbedparameter-uniform convergenceinterior layersgeneralized Shishkin mesh

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 (3)

Analysis of a numerical technique for a singularly perturbed parabolic convection–diffusion interface problem with time delay ⋮ A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term ⋮ Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers

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