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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 ...
Approximate solution of complex differential equations for a rectangular domain with Taylor collocation method
(Elsevier Science Inc, 2006)
In this study, Taylor collocation method is investigated for the approximate computation of high-order linear complex differential equations. Using the collocation points on any rectangular domain in the complex plane, the ...
Solution of Dirichlet problem for a triangle region in terms of elliptic functions
(Elsevier Science Inc, 2006)
In this paper.. the Green function of the (interior) Dirichlet problem for the Laplace (also Poisson) differential equation in a triangle region is expressed in terms of elliptic functions and the solution of problem is ...
A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
(Elsevier Science Inc, 2006)
In this paper, a Taylor collocation method is developed to find an approximate solution of high-order linear Fredholm-Volterra integro-difference equations with variable coefficients under the mixed conditions. The solution ...
A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains
(Elsevier Science Inc, 2006)
An approximate method for solving higher-order linear complex differential equations in the elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix representation ...
