A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem

DOI10.1007/S40314-021-01412-XzbMath1476.65336OpenAlexW3127473171MaRDI QIDQ1983862

Erkan Cimen, Musa Çakır

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01412-x

zbMATH Keywords

singular perturbationfinite difference methoduniform convergenceFredholm integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fredholm integral equations (45B05) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (11)

Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations ⋮ A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh ⋮ A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer ⋮ On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations ⋮ A novel numerical approach for Fredholm integro-differential equations ⋮ A parameter-uniform numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with delay in the spatial variable ⋮ A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method ⋮ A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations ⋮ A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition ⋮ Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations

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