Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations

DOI10.1016/S0096-3003(02)00053-XzbMath1025.65046MaRDI QIDQ1856043

S. Valarmathi, N. Ramanujam

Publication date: 28 January 2003

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

zbMATH Keywords

singular perturbationerror estimatesasymptotic expansionnumerical examplesparallel computingtwo-point boundary value problemboundary layersecond-order ordinary differential equationsboundary value techniquefitted operator methodclassical finite difference schemeexponentially fitted finite difference schemetwo-parameter BVP

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) 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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Cites Work

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• A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations
• An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type
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• A computational method for solving singular perturbation problems
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• On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory
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