Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines.

DOI10.1016/S0096-3003(03)00153-XzbMath1038.65068MaRDI QIDQ1427880

P. Pramod Chakravarthy, Y. N. Reddy

Publication date: 14 March 2004

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

zbMATH Keywords

Singular perturbationNumerical examplesBoundary layerCubic splinesTwo-point boundary value problems

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 (13)

Approximate analytical solution of singularly perturbed boundary value problems in Maple ⋮ An algorithm for solving singular perturbation problems with mechanization ⋮ The boundary layer problem: a fourth-order adaptive collocation approach ⋮ A seventh order numerical method for singular perturbation problems ⋮ High order multiplication perturbation method for singular perturbation problems ⋮ Variable step size initial value algorithm for singular perturbation problems using locally exact integration ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ A general method for solving singular perturbed impulsive differential equations with two-point boundary conditions ⋮ Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations ⋮ A hybrid method for singularly perturbed convection-diffusion equation ⋮ An algorithm for solving nonlinear singular perturbation problems with mechanization ⋮ Mechanization for solving SPP by reducing order method ⋮ A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

Cites Work

• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Perturbation methods in applied mathematics
• Perturbation methods and non-linear hyperbolic waves
• Cubic spline solutions to two-point boundary value problems
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