A numerical treatment for singularly perturbed differential equations with integral boundary condition

DOI10.1016/j.amc.2006.07.060zbMath1113.65076OpenAlexW2021028993MaRDI QIDQ870208

Mustafa Kudu, I. G. Amiraliyeva, Gabil M. Amiraliyev

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.060

zbMATH Keywords

error estimatesuniform convergencenumerical experimentsfinite difference schemeboundary layerShishkin meshSingular perturbationfirst-order quasilinear equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

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• Existence of solutions of boundary value problems for differential equations with delayed arguments.
• Extensions of quasilinearization method for differential equations with integral boundary condi\-tions.
• A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
• Monotone and numerical-analytic methods for differential equations
• Differential equations with integral boundary conditions

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