A finite differences MATLAB code for the numerical solution of second order singular perturbation problems

DOI10.1016/j.cam.2012.04.011zbMath1246.65127OpenAlexW2080829104MaRDI QIDQ433926

Giuseppina Settanni, Pierluigi Amodio

Publication date: 9 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.04.011

zbMATH Keywords

numerical examplesupwind methodfinite difference schemestwo-point boundary value problemssingular perturbation problemsMATLAB code HOFiD\_UP

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (13)

Asymptotical computations for a model of flow in saturated porous media ⋮ Numerical simulation of the whispering gallery modes in prolate spheroids ⋮ Pseudospectral versus Galerkin methods: fourth order equations ⋮ Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique ⋮ A finite differences MATLAB code for the numerical solution of second order singular perturbation problems ⋮ Numerical approximation of Turing patterns in electrodeposition by ADI methods ⋮ Numerical Strategies for Solving Multiparameter Spectral Problems ⋮ Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations ⋮ A block hybrid method for non-linear second order boundary value problems ⋮ On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids ⋮ Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere ⋮ HOFiD_UP ⋮ Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator

Uses Software

• Matlab
• COLNEW
• bvp4c
• twpbvp
• COLSYS

Cites Work

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• Matlab
• A finite differences MATLAB code for the numerical solution of second order singular perturbation problems
• High order generalized upwind schemes and numerical solution of singular perturbation problems
• Numerical approximation of nonlinear BVPs by means of BVMs
• High-order finite difference schemes for the solution of second-order BVPs
• A hybrid mesh selection strategy based on conditioning for boundary value ODE problems
• An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
• Convergence and stability of boundary value methods for ordinary differential equations
• Lobatto deferred correction for stiff two-point boundary value problems
• A new mesh selection algorithm, based on conditioning, for two-point boundary value codes
• A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• An automatic continuation strategy for the solution of singularly perturbed nonlinear boundary value problems
• A Deferred Correction Approach to the Solution of Singularly Perturbed BVPs by High Order Upwind Methods: Implementation Details

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