Numerical integration method for general singularity perturbed two point boundary value problems

DOI10.1016/S0096-3003(01)00246-6zbMath1024.65061MaRDI QIDQ1855889

K. Anantha Reddy, Y. N. Reddy

Publication date: 28 January 2003

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

zbMATH Keywords

numerical examplessingular perturbationsnonlinearlinearboundary layertwo point boundary value problemstrapezoidal formula

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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)

Related Items (6)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ Precise time integration for linear two-point boundary value problems ⋮ First asymptotic approximations to a solution of singularly perturbed optimal control problem with intersecting solutions of degenerate problem ⋮ A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems ⋮ An algorithm for solving nonlinear singular perturbation problems with mechanization ⋮ Mechanization for solving SPP by reducing order method

Cites Work

• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Perturbation methods in applied mathematics
• Singular perturbation methods for ordinary differential equations
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Perturbation methods and non-linear hyperbolic waves
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