Fitted fourth-order tridiagonal finite difference method for singular perturbation problems

DOI10.1016/j.amc.2007.02.123zbMath1193.65125OpenAlexW2069320389MaRDI QIDQ990491

Awoke Andargie, Y. N. Reddy

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.2007.02.123

zbMATH Keywords

finite differencessingular perturbation problemsfitted method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

An efficient superconvergent spline collocation algorithm for solving fourth order singularly perturbed problems ⋮ Precise integration method for solving singular perturbation problems ⋮ An optimal asymptotic-numerical method for convection dominated systems having exponential boundary layers ⋮ An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems ⋮ Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems ⋮ Solving singularly perturbed multipantograph delay equations based on the reproducing kernel method ⋮ Analytic approximation to delayed convection dominated systems through transforms ⋮ Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet

Cites Work

• Perturbation methods in applied mathematics
• An exponentially fitted finite difference method for singular perturbation problems
• An initial-value approach for solving singularly perturbed two-point boundary value problems
• Perturbation methods and non-linear hyperbolic waves
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
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