[HTML][HTML] A Bernstein operational matrix approach for solving a system of high order linear Volterra–Fredholm integro-differential equations

K Maleknejad, B Basirat, E Hashemizadeh - Mathematical and Computer …, 2012 - Elsevier
In this paper, we present some efficient direct solvers for solving a system of high order
linear Volterra–Fredholm integro-differential equations (VFIDEs). A new approach …

Chelyshkov collocation method for a class of mixed functional integro-differential equations

C Oğuz, M Sezer - Applied Mathematics and Computation, 2015 - Elsevier
In this study, a numerical matrix method based on Chelyshkov polynomials is presented to
solve the linear functional integro-differential equations with variable coefficients under the …

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 …

[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 …

[HTML][HTML] Numerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial bases

Ş Yüzbaşı, N Şahin, M Sezer - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, a numerical matrix method based on collocation points is presented for the
approximate solution of the systems of high-order linear Fredholm integro-differential …

[HTML][HTML] Approximate solutions of linear Volterra integral equation systems with variable coefficients

HH Sorkun, S Yalçinbaş - Applied Mathematical Modelling, 2010 - Elsevier
In this paper, a new approximate method has been presented to solve the linear Volterra
integral equation systems (VIEs). This method transforms the integral system into the matrix …

[HTML][HTML] On a new method for finding numerical solutions to integro-differential equations based on Legendre multi-wavelets collocation

I Khan, M Asif, R Amin, Q Al-Mdallal, F Jarad - Alexandria Engineering …, 2022 - Elsevier
In this article, a wavelet collocation method based on linear Legendre multi-wavelets is
proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra …

A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients

F Mirzaee, SF Hoseini - Applied Mathematics and Computation, 2017 - Elsevier
This paper contributes an efficient numerical approach for solving the systems of high-order
linear Volterra integro-differential equations with variable coefficients under the mixed …

[HTML][HTML] Bessel polynomial solutions of high-order linear Volterra integro-differential equations

Ş Yüzbaşı, N Şahı̇n, M Sezer - Computers & Mathematics with …, 2011 - Elsevier
In this study, a practical matrix method, which is based on collocation points, is presented to
find approximate solutions of high-order linear Volterra integro-differential equations (VIDEs) …

[HTML][HTML] A collocation approach for solving systems of linear Volterra integral equations with variable coefficients

N Şahı̇n, Ş Yüzbaşı, M Gülsu - Computers & Mathematics with …, 2011 - Elsevier
In this paper, a numerical method is introduced to solve a system of linear Volterra integral
equations (VIEs). By using the Bessel polynomials and the collocation points, this method …