[HTML][HTML] On one approach to solve the linear boundary value problems for Fredholm integro-differential equations

DS Dzhumabaev - Journal of Computational and Applied Mathematics, 2016 - Elsevier
On one approach to solve the linear boundary value problems for Fredholm integro-differential
equations - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Legendre polynomial solutions of high-order linear Fredholm integro-differential equations

S Yalçinbaş, M Sezer, HH Sorkun - Applied mathematics and computation, 2009 - Elsevier
In this study, a Legendre collocation matrix method is presented to solve high-order Linear
Fredholm integro-differential equations under the mixed conditions in terms of Legendre …

Numerical solution of the system of Fredholm integro-differential equations by the Tau method

J Pour-Mahmoud, MY Rahimi-Ardabili… - Applied Mathematics and …, 2005 - Elsevier
The Tau method, produces approximate polynomial solution of differential, integral and
integro-differential equations (see [El, Ortiz, The Tau method, SIAM J. Numer. Anal. 6 …

A Tau–like numerical method for solving fractional delay integro–differential equations

S Shahmorad, MH Ostadzad, D Baleanu - Applied numerical mathematics, 2020 - Elsevier
In this paper, an operational matrix formulation of the Tau method is herein discussed to
solve a class of delay fractional integro–differential equations. The approximate solution is …

Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation

J Li, Y Cheng - Computational and Applied Mathematics, 2020 - Springer
Second-order Volterra integro-differential equation is solved by the linear barycentric
rational collocation method. Following the barycentric interpolation method of Lagrange …

A collocation method based on Bernstein polynomials to solve nonlinear Fredholm–Volterra integro-differential equations

Ş Yüzbaşı - Applied Mathematics and Computation, 2016 - Elsevier
In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients

N Kurt, M Sezer - Journal of the Franklin Institute, 2008 - Elsevier
In this study, a practical matrix method is presented to find an approximate solution of high-
order linear Fredholm integro-differential equations with constant coefficients under the …

Chebyshev finite difference method for Fredholm integro-differential equation

M Dehghan, A Saadatmandi - International Journal of Computer …, 2008 - Taylor & Francis
A Chebyshev finite difference method has been proposed in order to solve linear and
nonlinear second-order Fredholm integro-differential equations. The approach consists of …

[HTML][HTML] A numerical approach for solving linear integro-differential-difference equations with Boubaker polynomial bases

S Yalçınbaş, T Akkaya - Ain Shams Engineering Journal, 2012 - Elsevier
In this paper, a new collocation method, which is based on Boubaker polynomials, is
introduced for the approximate solutions of mixed linear integro-differential-difference …

Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping

A Haq, N Sukavanam - Chaos, Solitons & Fractals, 2020 - Elsevier
This article is concerned with Riemann-Liouville fractional semilinear integrodifferential
systems with damping in Banach spaces. First we prove the existence of mild solutions of …