Fitted operator finite difference method for singularly perturbed differential equations with integral boundary condition

MaRDI QIDQ6582196

Habtamu Garoma Debela, Gemechis File Duressa

Publication date: 2 August 2024

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationintegral boundary conditionfitted operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

• Second-order boundary value problem with integral boundary conditions
• A finite difference method for the singularly perturbed problem with nonlocal boundary condition
• A numerical treatment for singularly perturbed differential equations with integral boundary condition
• The method of upper and lower solutions for second order differential inclusions with integral boundary conditions
• Stability in the numerical solution of the heat equation with nonlocal boundary conditions
• Second-order boundary value problems with integral boundary conditions
• Fitted Numerical Methods For Singular Perturbation Problems
• Numerical solution of a singularly perturbed three-point boundary value problem
• Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space
• Multiscale modelling of the circulatory system: a preliminary analysis
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