Search Results - "Durmaz, Muhammet Enes"
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A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations
Published in Journal of applied mathematics & computing (01-10-2023)“…The goal of this study is to introduce a second-order computational method to solve Volterra-Fredholm integro-differential equations involving boundary layers…”
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Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method
Published in Journal of computational and applied mathematics (15-05-2025)“…This work deals with the initial-value problem for a second-order neutral Volterra integro-differential equation. First, we give the stability inequality…”
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Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method
Published in Journal of computational and applied mathematics (01-10-2022)“…This work presents a computational approximate to solve singularly perturbed Fredholm integro-differential equation with the reduced second type Fredholm…”
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A second-order numerical approximation of a singularly perturbed nonlinear Fredholm integro-differential equation
Published in Applied numerical mathematics (01-09-2023)“…We consider a singularly perturbed problem for a nonlinear first-order Fredholm integro-differential equation. Our aim is to build and analyze a numerical…”
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A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation
Published in Mediterranean journal of mathematics (01-02-2021)“…In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order…”
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A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations
Published in Mathematics and computers in simulation (01-06-2024)“…This study deals with two numerical schemes for solving a class of singularly perturbed nonlinear Fredholm integro-differential equations. The nonlinear terms…”
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An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition
Published in Journal of applied mathematics & computing (2023)“…In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a…”
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Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers
Published in Communications Series A1 Mathematics & Statistics (30-12-2022)“…The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh…”
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A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation
Published in Mediterranean journal of mathematics (01-11-2024)“…The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem…”
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