Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme

DOI10.1016/j.camwa.2009.01.010zbMath1186.65103OpenAlexW2057901477MaRDI QIDQ971609

Devendra Kumar, Mohan K. Kadalbajoo

Publication date: 16 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.010

zbMATH Keywords

boundary value problemsordinary differential equationsboundary layersingular perturbation problemsexponential fitted finite difference scheme

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (12)

A maximum entropy method for solving the boundary value problem of second order ordinary differential equations ⋮ An efficient superconvergent spline collocation algorithm for solving fourth order singularly perturbed problems ⋮ Precise integration method for solving singular perturbation problems ⋮ Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems ⋮ A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method ⋮ Numerical solutions of singularly perturbed convection-diffusion problems ⋮ Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs ⋮ Numerical treatment of singularly perturbed two-point boundary value problems by using differential transformation method ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ An initial-value technique to solve third-order reaction–diffusion singularly perturbed boundary-value problems ⋮ A Numerical Approach for Solving Nonlinear Singularly Perturbed Boundary Value Problem Arising in Control Theory ⋮ Exponentially fitted finite difference scheme for singularly perturbed two point boundary value problems

Cites Work

• A second order monotone upwind scheme
• An approximate method for solving a class of singular perturbation problems
• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Perturbation methods in applied mathematics
• Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points
• Singular perturbation methods for ordinary differential equations
• Collocation for Singular Perturbation Problems III: Nonlinear Problems without Turning Points
• Perturbation methods and non-linear hyperbolic waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme