A numerical approach for solving high-order linear delay Volterra integro-differential equations

Ş Yüzbaşı, M Karaçayır - … Journal of Computational Methods, 2018 - World Scientific
… study, a numerical method is proposed to solve high-order linear Volterra delay integro-differential
equations. In … solution to linear Volterra delay integro-differential equations of the form …

High-order methods for the numerical solution of Volterra integro-differential equations

H Brunner - Journal of computational and applied mathematics, 1986 - Elsevier
… Abstract: If a first-order Volterra integro-differential equation is solved by collocation in the
space of continuous polynomial splines of degree m >l, with collocation occurring at the Gauss-…

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
… and present a numerical method for solving a system of linear Volterra integro-differential
equations with variable coefficients. Convergence analysis for the method is established in …

Numerical solution of high-order Volterra–Fredholm integro-differential equations by using Legendre collocation method

N Rohaninasab, K Maleknejad, R Ezzati - Applied Mathematics and …, 2018 - Elsevier
… The main purpose of this paper is to use the Legendre collocation spectral method for
solving the high-order linear Volterra–Fredholm integro-differential equations 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
method, which is based on collocation points, is presented to find approximate solutions of
high-order linear Volterra integro-differential … have studied numerical methods for solutions of …

Numerical methods for nonlinear Volterra integro-differential equations

A Feldstein, JR Sopka - SIAM Journal on Numerical Analysis, 1974 - SIAM
… In the sequel we present a class of algorithms of arbitrarily high order for approximating the
solution of VIDE’s, and we establishbounds for the error propagated by this approximation …

The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations

SM El-Sayed, D Kaya, S Zarea - … Nonlinear Sciences and Numerical …, 2004 - degruyter.com
method is applied to solving high-order linear Volterra-Fredholm integro-differential equations.
… Actually few numerical methods for handling equation (1) are known. Some projection …

High-order nonlinear Volterra–Fredholm-Hammerstein integro-differential equations and their effective computation

M Turkyilmazoglu - Applied Mathematics and Computation, 2014 - Elsevier
… approximate solutions of high-order nonlinear Volterra–Fredholm–Hammerstein integro-differential
equations. … An effective approach for numerical solutions of high-order Fredholm …

[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
numerical solution of a system of high order linear Volterra–Fredholm integro-differential
equations… the Bernstein operational matrices method over other existing methods is its simplicity …

Taylor collocation method for solution of systems of high-order linear Fredholm–Volterra integro-differential equations

M Gülsu, M Sezer - International Journal of Computer Mathematics, 2006 - Taylor & Francis
method is presented for numerically solving the system of … of linear Fredholm–Volterra
integro-differential equations in … will use examples to show how the Taylor collocation method can …