A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations

DOI10.1016/j.amc.2006.05.218zbMath1193.65112OpenAlexW2016309304MaRDI QIDQ990394

S. Valarmathi, S. Hemavathi, T. Bhuvaneswari, John J. H. Miller

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.218

zbMATH Keywords

initial value problemsfinite difference schemessystem of differential equationssingular perturbation problemsfitted meshinitial-boundary layers

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (14)

Layer-adapted methods for quasilinear singularly perturbed delay differential problems ⋮ An efficient numerical method for a nonlinear system of singularly perturbed differential equations arising in a two-time scale system ⋮ Solving a partially singularly perturbed initial value problem on Shishkin meshes ⋮ A fitted mesh method for a coupled system of two singularly perturbed first order differential equations with discontinuous source term ⋮ Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh ⋮ An overlapping numerical method for a partially singularly perturbed initial value problem ⋮ Parameter-robust numerical method for a system of singularly perturbed initial value problems ⋮ An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems ⋮ Numerical Solution for a Coupled System of Singularly Perturbed Initial Value Problems with Discontinuous Source Term ⋮ Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems ⋮ Second order global uniformly convergent numerical method for a coupled system of singularly perturbed initial value problems ⋮ A parameter-robust convergence scheme for a coupled system of singularly perturbed first order differential equations with discontinuous source term

Cites Work

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• A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer
• A numerical method for a system of singularly perturbed reaction-diffusion equations
• Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations
• Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
• Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods

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