Uniformly convergent numerical method for singularly perturbed convection‐diffusion type problems with nonlocal boundary condition

• Published in: International journal for numerical methods in fluids Vol. 92; no. 12; pp. 1914 - 1926
• Main Authors: Debela, Habtamu Garoma, Duressa, Gemechis File
• Format: Journal Article
• Language: English
• Published: Hoboken, USA John Wiley & Sons, Inc 01.12.2020; Wiley Subscription Services, Inc
• Subjects: 2010 Mathematics Subject Classification: 65 L11, 65 L12, 65 L20; Boundary conditions; Convection; Convergence; Differential equations; Diffusion; Finite difference method; Integration; Mathematical models; nonlocal boundary condition; nonstandard finite difference; Numerical analysis; Numerical integration; Numerical methods; Singular perturbation methods; singularly perturbed problem

Summary In this article, we consider a class of singularly perturbed differential equations of convection‐diffusion type with nonlocal boundary conditions. A uniformly convergent numerical method is constructed via nonstandard finite difference and numerical integration methods to solve the problem....