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A numerical technique for solving functional integro-differential equations having variable bounds
(Springer Heidelberg, 2018)
In this paper, a collocation method based on Taylor polynomials is presented to solve the functional delay integro-differential equations with variable bounds. Using this method, we transform the functional equations to a ...
Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations
(Elsevier Science Inc, 2016)
The main purpose of this paper is to present a numerical method to solve the linear Fredholm integro-differential difference equations with constant argument under initial-boundary conditions. The proposed method is based ...
A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials
(World Scientific Publ Co Pte Ltd, 2018)
In this study, we have considered the linear classes of differential-(difference), integro-differential-(difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, ...
A numerical approach for solving Volterra type functional integral equations with variable bounds and mixed delays
(Elsevier Science Bv, 2017)
In this paper, the Taylor collocation method has been used the integro functional equation with variable bounds. This method is essentially based on the truncated Taylor series and its matrix representations with collocation ...
A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form
(Taylor & Francis Ltd, 2007)
A Taylor method is developed for finding the approximate solution of high-order linear Fredholm integro-differential equations in the most general form under the mixed conditions. The problem is defined on the interval ...
A matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials
(Pergamon-Elsevier Science Ltd, 2006)
A numerical method for solving the higher order linear difference equations with variable coefficients and mixed argument under the mixed conditions is presented. The method is based on the hybrid Legendre and Taylor ...
Taylor collocation method for solution of systems of high-order linear Fredholm-Volterra integro-differential equations
(Taylor & Francis Ltd, 2006)
A Taylor collocation method is presented for numerically solving the system of high-order linear Fredholm-Volterra integro-differential equations in terms of Taylor polynomials. Using the Taylor collocations points, the ...
Polynomial solution of the most general linear Fredholm-Volterra integrodifferential-difference equations by means of Taylor collocation method
(Elsevier Science Inc, 2007)
In this paper, a Taylor collocation method has been presented for numerically solving the high-order general linear Fredholm-Volterra integrodifferential-difference equations with variable coefficients under the mixed ...
Approximate solution to linear complex differential equation by a new approximate approach
(Elsevier Science Inc, 2007)
The purpose of this study is to give a Taylor polynomial approximation for the solution of high-order linear complex differential equations with variable coefficients and mixed conditions about any point. For this purpose, ...
Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order
(Pergamon-Elsevier Science Ltd, 2006)
There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically ...
