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A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation
(Pergamon-Elsevier Science Ltd, 2011)
A Taylor matrix method is proposed for the numerical solution of the two-space-dimensional linear hyperbolic equation. This method transforms the equation into a matrix equation and the unknown of this equation is a Taylor ...
Solving High-Order Linear Differential Equations by a Legendre Matrix Method Based on Hybrid Legendre and Taylor Polynomials
(Wiley, 2010)
A numerical method for solving the high-order linear differential equations with variable coefficients under the mixed conditions is presented. The method is based on the hybrid Legendre and Taylor polynomials. The solution ...
A collocation approach for solving linear complex differential equations in rectangular domains
(Wiley-Blackwell, 2012)
In this paper, a collocation method is presented to find the approximate solution of high-order linear complex differential equations in rectangular domain. By using collocation points defined in a rectangular domain and ...
A new Chebyshev polynomial approximation for solving delay differential equations
(Taylor & Francis Ltd, 2012)
The purpose of this study is to give a Chebyshev polynomial approximation for the solution of mth-order linear delay differential equations with variable coefficients under the mixed conditions. For this purpose, a new ...
Bernstein series solution of linear second-order partial differential equations with mixed conditions
(Wiley, 2014)
The purpose of this study is to present a new collocation method for numerical solution of linear PDEs under the most general conditions. The method is given with a priori error estimate. By using the residual correction ...
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. ...
