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作者:Atefeh Fahim , Mohammad Ali Fariborzi Araghi , Jalil Rashidinia ...
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1)Springer
摘要:... Finite difference method in combination with product trapezoidal integration rule is used to discretize the equation in time and sinc-collocation method is employed in space. A weakly singular kernel has been viewed as an important case in this study. The convergence analysis...
作者:Wendi Bao , Yongzhong Song , Hongmei Shao
来源:[J].Computational and Applied Mathematics(IF 0.413), 2017, Vol.36 (4), pp.1747-1782Springer
摘要:In this paper, we obtain a sinc discretization method for solving the boundary value problems of differential-algebraic equations (DAEs) and prove that the discrete solutions converge to the true solutions of the DAEs exponentially. In the process of presenting the solution, we f...
作者:Samad Noeiaghdam , Mohammad Ali Fariborzi Araghi , Saeid Abbasbandy
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2020, Vol.370Elsevier
摘要:Abstract(#br)The main purpose of this work is to validate the numerical solution of fuzzy Fredholm integral equation (IE) by applying the Sinc-collocation method (S-CM) based on the double exponential (DE) and single exponential (SE) decays. This approach is based on the discrete...
作者:Reza Mokhtari , Maryam Mohammadi
来源:[J].Computer Physics Communications(IF 3.078), 2010, Vol.181 (7), pp.1266-1274Elsevier
摘要:... This approach is based on a global collocation method using Sinc basis functions. The propagation of single solitons and the interaction of two solitary waves are used to validate the method which is found to be accurate and efficient. The three invariants of the motion are e...
作者:Xionghua Wu , Chen Li , Wenbin Kong
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2005, Vol.196 (1), pp.58-69Elsevier
摘要:Abstract(#br)It is difficult for the Sinc-collocation method to solve directly boundary value problems in two variables with the mixed nonhomogeneous boundary condition. In this paper, a developed Sinc-collocation method with boundary treatment (SCMBT) is introduced. It is easy t...
作者:Masaaki Sugihara
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2002, Vol.149 (1), pp.239-250Elsevier
摘要:... Recently, it has turned out that the double exponential transformation is also useful for various kinds of Sinc methods. In the present paper, we consider the Sinc-collocation method for two-point boundary value problems to show that the method can be considerably enhanced wh...
作者:A. Shidfar , R. Zolfaghari , J. Damirchi
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2009, Vol.233 (2), pp.545-554Elsevier
摘要:... The resulting integral equations are convolution-type, which by using Sinc-collocation method, are replaced by a system of linear algebraic equations. The convergence analysis is included, and it is shown that the error in the approximate solution is bounded in the infinity n...
作者:Veysel Fuat Hatipoglu , Sertan Alkan , Aydin Secer
来源:[J].Advances in Difference Equations(IF 0.76), 2017, Vol.2017 (1), pp.1-13Springer
摘要:Abstract(#br)In this study, the sinc collocation method is used to find an approximate solution of a system of differential equations of fractional order described in the Caputo sense. Some theorems are presented to prove the applicability of the proposed method to the system of ...
作者:Somayeh Yeganeh , Abbas Saadatmandi , Fahimeh Soltanian ...
来源:[J].Computational and Applied Mathematics(IF 0.413), 2013, Vol.32 (2), pp.343-354Springer
摘要:Abstract(#br)In this article, numerical solution of differential-algebraic equations (DAEs), by means of the sinc-collocation method is considered. Properties of the sinc procedure are utilized to reduce the computation of the DAEs to systems of algebraic equations. It is well kn...
作者:Tomoaki Okayama , Takayasu Matsuo , Masaaki Sugihara
来源:[J].BIT Numerical Mathematics(IF 0.977), 2011, Vol.51 (2), pp.339-366Springer
摘要:Abstract(#br)A Sinc-collocation scheme for Fredholm integral equations of the second kind was proposed by Rashidinia–Zarebnia in 2005. In this paper, two improved versions of the Sinc-collocation scheme are presented. The first version is obtained by improving the scheme so ...

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