A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh
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Publication:5057404
DOI10.15672/hujms.950075OpenAlexW4210680137WikidataQ115235195 ScholiaQ115235195MaRDI QIDQ5057404
Publication date: 16 December 2022
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.950075
singular perturbationdifference schemeerror estimateShishkin meshVolterra integro-differential equationFredholm integro-differential equation
Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)
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Cites Work
- Legendre-Galerkin method for the linear Fredholm integro-differential equations
- On existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces
- A finite-difference method for a singularly perturbed delay integro-differential equation
- A new collocation method for solution of mixed linear integro-differential-difference equations
- Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
- Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method
- The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations
- A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem
- A robust numerical method for a singularly perturbed Fredholm integro-differential equation
- A second-order post-processing technique for singularly perturbed Volterra integro-differential equations
- A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions
- Approximate solution of perturbed Volterra-Fredholm integrodifferential equations by Chebyshev-Galerkin method
- Lagrange collocation method for solving Volterra-Fredholm integral equations
- Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
- Development of the Tau Method for the Numerical Solution of Two-dimensional Linear Volterra Integro-differential Equations
- A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation
- A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation
- A novel computational method for solving nonlinear Volterra integro-differential equation
- Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
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