A seventh order numerical method for singular perturbation problems

DOI10.1016/j.amc.2006.08.022zbMath1114.65088OpenAlexW2093287632MaRDI QIDQ876674

Y. N. Reddy, P. Pramod Chakravarthy, K. Phaneendra

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.022

zbMATH Keywords

numerical resultserror estimatesboundary layertwo-point boundary value problemsseventh order compact difference scheme

Mathematics Subject Classification ID

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)

Related Items (7)

A matrix-collocation method for solutions of singularly perturbed differential equations via Euler polynomials ⋮ Unnamed Item ⋮ A collocation method based on the Bessel functions of the first kind for singular perturbated differential equations and residual correction ⋮ A Laguerre Approach for the Solutions of Singular Perturbated Differential Equations ⋮ Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ High-order exponentially fitted difference schemes for singularly perturbed two-point boundary value problems

Cites Work

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• New initial-value method for singularly perturbed boundary-value problems
• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Perturbation methods in applied mathematics
• A boundary value technique for singular perturbation problems
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines.
• Initial-value methods for second-order singularly perturbed boundary- value problems
• High-order numerical method for two-point boundary value problems
• Perturbation methods and non-linear hyperbolic waves

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