Two uniform schemes for the singularly perturbed Riccati equation

DOI10.1016/0898-1221(92)90082-SzbMath0755.65071MaRDI QIDQ1193134

Pablo González-Vera, S. González-Pinto, Luis Casasús

Publication date: 27 September 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

singular perturbationfinite difference methoduniform convergencenumerical examplesboundary layersingularly perturbed Riccati equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

A Shishkin mesh for a singularly perturbed Riccati equation ⋮ On the hybrid finite difference scheme for a singularly perturbed Riccati equation ⋮ Foreword to the proceedings of the OrthoQuad 2014 conference

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• A uniform scheme for the singularly perturbed Riccati equation
• Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation
• Numerical integration of a singularly perturbed Cauchy problem for an ordinary differential equation
• On Nonlinear Singularly Perturbed Initial Value Problems

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