An exponentially fitted finite difference method for singular perturbation problems

DOI10.1016/S0096-3003(03)00693-3zbMath1050.65075MaRDI QIDQ1827354

Y. N. Reddy, P. Pramod Chakravarthy

Publication date: 6 August 2004

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

zbMATH Keywords

stabilitynumerical examplesfinite difference schemeThomas algorithmSingular perturbationBoundary layerTwo-point boundary value problemsExponentially fitted method

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) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

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An exponentially fitted special second-order finite difference method for solving singular perturbation problems, Discontinuous Galerkin method based on non-polynomial approximation spaces, A brief survey on numerical methods for solving singularly perturbed problems, High order multiplication perturbation method for singular perturbation problems, High-order exponentially fitted difference schemes for singularly perturbed two-point boundary value problems, Fitted fourth-order tridiagonal finite difference method for singular perturbation problems, An algorithm for solving nonlinear singular perturbation problems with mechanization, Mechanization for solving SPP by reducing order method, Exponentially fitted finite difference scheme for singularly perturbed two point boundary value problems

Cites Work

• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Perturbation methods in applied mathematics
• Perturbation methods and non-linear hyperbolic waves
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