A uniform scheme for the singularly perturbed Riccati equation
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Publication:1073549
DOI10.1007/BF01396666zbMath0588.65052MaRDI QIDQ1073549
Publication date: 1987
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133167
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)
Related Items (10)
Optimal uniform finite difference schemes of order two for stiff initial value problems ⋮ A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method ⋮ Automated allocation of mesh points for stiff two-point boundary value problems ⋮ Two uniform schemes for the singularly perturbed Riccati equation ⋮ Optimal extended one-step schemes of exponential type for stiff initial-value problems ⋮ Unnamed Item ⋮ A Shishkin mesh for a singularly perturbed Riccati equation ⋮ Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations ⋮ On the hybrid finite difference scheme for a singularly perturbed Riccati equation ⋮ A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation
Cites Work
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- A uniformly convergent difference scheme for a semilinear singular perturbation problem
- On a difference scheme of exponential type for a nonlinear singular perturbation problem
- A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form
- Uniqueness and the Cell Reynolds Number
- Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
- Monotone Difference Schemes for Singular Perturbation Problems
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