Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations

DOI10.1515/gmj-2021-2130zbMath1491.65167OpenAlexW4205602449WikidataQ115236323 ScholiaQ115236323MaRDI QIDQ2120844

Baransel Gunes, Musa Çakır

Publication date: 1 April 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2021-2130

zbMATH Keywords

singular perturbationdifference schemeerror estimateVolterra integro-differential equationuniform meshFredholm 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 methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations ⋮ Correction to: ``Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations ⋮ 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 ⋮ Numerical solution of Volterra-Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials

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