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Toplam kayıt 10, listelenen: 1-10
A numerical scheme for solutions of the Chen system
(Wiley-Blackwell, 2012)
In this paper, we will develop the Bessel collocation method to find approximate solutions of the Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This scheme consists of reducing the ...
A collocation approach for solving high-order linear Fredholm-Volterra integro-differential equations
(Pergamon-Elsevier Science Ltd, 2012)
In this study, a collocation method based on the Bessel polynomials is introduced for the approximate solutions of high-order linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions. In ...
An efficient algorithm for solving multi-pantograph equation systems
(Pergamon-Elsevier Science Ltd, 2012)
In this paper, we present a numerical approach for solving the system of multi-pantograph equations with mixed conditions. This system is usually difficult to solve analytically. By expanding the approximate solutions by ...
Bessel collocation approach for solving continuous population models for single and interacting species
(Elsevier Science Inc, 2012)
In this paper, we present a collocation method to obtain the approximate solutions of continuous population models for single and interacting species. By using the Bessel polynomials and collocation points, this method ...
A numerical method to solve a class of linear integro-differential equations with weakly singular kernel
(Wiley, 2012)
In this paper, a collocation method based on the Bessel polynomials is introduced for the approximate solution of a class of linear integro-differential equations with weakly singular kernel under the mixed conditions. The ...
On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation
(Pergamon-Elsevier Science Ltd, 2012)
In this study, we present a numerical approximation for the solutions of the system of high-order linear retarded and advanced differential equations with variable coefficients under the mixed conditions. This method is ...
A collocation approach to solve the Riccati-type differential equation systems
(Taylor & Francis Ltd, 2012)
In this paper, a collocation method is presented for the solutions of the system of the Riccati-type differential equations with variable coefficients. The proposed approach consists of reducing the problem to a nonlinear ...
A collocation approach to solving the model of pollution for a system of lakes
(Pergamon-Elsevier Science Ltd, 2012)
Pollution has become a very serious threat to our environment. Monitoring pollution is the first step toward planning to save the environment. In this paper, the pollution problem of three lakes with interconnecting channels ...
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 numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations
(Pergamon-Elsevier Science Ltd, 2012)
In this study, a collocation method based on the Bessel functions of first kind is given for the approximate solutions of the Riccati differential-difference equations under the mixed condition. The method is presented ...