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Toplam kayıt 44, listelenen: 31-40
APPROXIMATE SOLUTION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS BY MEANS OF A NEW RATIONAL CHEBYSHEV COLLOCATION METHOD
(Assoc Sci Res, 2010)
In this paper, a new approximate method for solving higher-order linear ordinary differential equations with variable coefficients under the mixed conditions is presented. The method is based on the rational Chebyshev (RC) ...
A Bessel polynomial approach for solving general linear Fredholm integro-differential-difference equations
(Taylor & Francis Ltd, 2011)
In this paper, to find an approximate solution of general linear Fredholm integro-differential-difference equations (FIDDEs) under the initial-boundary conditions in terms of the Bessel polynomials, a practical matrix ...
An improved Bessel collocation method with a residual error function to solve a class of Lane-Emden differential equations
(Pergamon-Elsevier Science Ltd, 2013)
In this study, the modified Bessel collocation method is presented to obtain the approximate solutions of the linear Lane-Emden differential equations. The method is based on the improvement of the Bessel polynomial solutions ...
Rational Chebyshev Collocation Method for Solving Higher-Order Linear Ordinary Differential Equations
(Wiley-Blackwell, 2011)
A collocation method to find an approximate solution of higher-order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev ...
Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations
(Wiley, 2014)
In this study, a practical matrix method based on Laguerre polynomials is presented to solve the higher-order linear delay differential equations with constant coefficients and functional delays under the mixed conditions. ...
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 ...