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Toplam kayıt 39, listelenen: 31-39
On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials
(Elsevier Science Inc, 2011)
This paper presents a new approximate method of Abel differential equation. By using the shifted Chebyshev expansion of the unknown function, Abel differential equation is approximately transformed to a system of nonlinear ...
Bernstein series solutions of pantograph equations using polynomial interpolation
(Taylor & Francis Ltd, 2012)
In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of the pantograph-type differential equations with retarded case or advanced case. In addition, the ...
Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel
(Elsevier Science Inc, 2011)
In this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact ...
A New Taylor Collocation Method for Nonlinear Fredholm-Volterra Integro-Differential Equations
(Wiley, 2010)
The aim of this article is to present an efficient numerical procedure for solving nonlinear integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential ...
Solution of High-Order Linear Fredholm Integro-Differential Equations with Piecewise Intervals
(Wiley, 2011)
In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals under the initial boundary conditions in terms ...
Laguerre polynomial approach for solving linear delay difference equations
(Elsevier Science Inc, 2011)
This paper presents a numerical method for the approximate solution of mth-order linear delay difference equations with variable coefficients under the mixed conditions in terms of Laguerre polynomials. The aim of this ...
A New Hermite Collocation Method for Solving Differential Difference Equations
(Prairie View A & M Univ, Dept Mathematics, 2011)
The purpose of this study is to give a Hermite polynomial approximation for the solution of m(th) order linear differential-difference equations with variable coefficients under mixed conditions. For this purpose, a new ...
Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains
(Wiley, 2010)
An approximate method for solving higher-order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of ...
A Chebyshev Series Approximation for Linear SecondOrder Partial Differential Equations with Complicated Conditions
(Gazi Univ, 2013)
The purpose of this study is to present a new collocation method for the solution of second-order, linear partial differential equations (PDEs) under the most general conditions. The method has improved from Chebyshev ...