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A STRONG COMPUTATIONAL METHOD FOR SOLVING OF SYSTEM OF INFINITE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS | ||
International Journal of Mathematical Modelling & Computations | ||
مقاله 5، دوره 5، 3 (SUMMER)، فروردین 2015، صفحه 251-258 اصل مقاله (80.08 K) | ||
نویسندگان | ||
M. Matinfar؛ Abbas Riahifar؛ H. Abdollahi | ||
University of Mazandaran Iran, Islamic Republic of | ||
چکیده | ||
The introduced method in this study consists of reducing a system of infinite boundary integro-differential equations (IBI-DE) into a system of al- gebraic equations, by expanding the unknown functions, as a series in terms of Laguerre polynomials with unknown coefficients. Properties of these polynomials and operational matrix of integration are rst presented. Finally, two examples illustrate the simplicity and the effectiveness of the proposed method have been presented. | ||
کلیدواژهها | ||
Systems of infinite boundary integro-differential equations؛ Laguerre polynomial؛ Operational matrix | ||
مراجع | ||
F. M. Maalek Ghaini, F. Tavassoli Kajani, M. Ghasemi, Solving boundary integral equation using Laguerre polynomials, World Applied Sciences Journal., 7(1) (2009) 102-104.
N. M. A. Nik Long, Z. K. Eshkuvatov, M. Yaghobifar, M. Hasan, Numerical solution of infinite boundary integral equation by using Galerkin method with Laguerre polynomials, World Academy of Science, Engineering and Technology., 47 (2008) 334-337.
D. G. Sanikidze, On the numerical solution of a class of singular integral equations on an infinite interval, Differential Equations., 41(9) (2005) 1353-1358.
M. Gulsu, B. Gurbuz, Y. Ozturk, M. Sezer, Laguerre polynomials approach for solving linear delay difference equations, Applied Mathematics Computation.,
(2011) 6765-6776.
J. Pour-Mahmoud, M. Y. Rahimi-Ardabili, S. Shahmorad, Numerical solution of the system of Fredholm integro-differential equations by the Tau method., Applied Mathematics and Computation., 168 (2005) 465-478.
J. Biazar, H. Ghazvini, M. Eslami, He's homotopy perturbation method for systems of integro-differential equations, Chaos, Solitions and Fractals., 39(3)
(2009) 1253-1258.
K. Maleknejad, F. Mirzaee, S. Abbasbandy, Solving linear integro-differential equations system by using rationalized Haar functions method, Applied Mathematics and Computation., 155(2) (2004) 317-328. | ||
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