Results 1 to 10 of about 11,694 (172)

Solution of a Volterra integral equation by the Sinc-collocation method

open access: yesJournal of Computational and Applied Mathematics, 2007
In this paper a collocation procedure is developed for a linear Volterra integral equation of the second kind by using the Sinc basis functions. The approximate solutions are given so that the auxiliary basis functions satisfy the four different end ...
Rashidinia, J., Zarebnia, M.
core   +3 more sources

Sinc-collocation method with orthogonalization for singular Poisson-like problems [PDF]

open access: yesMathematics of Computation, 1994
This paper uses the Sine-collocation method to solve singular Poisson-like problems (a first- or higher-order partial derivative of the exact solution is unbounded on the boundary).
Guang Yan Yin
core   +2 more sources

Double exponential transformation in the Sinc-collocation method for two-point boundary value problems

open access: yes, 2002
In 1974, Takahasi and Mori proposed the double exponential transformation for efficient evaluation of integrals of an analytic function with end point singularity.
Sugihara, Masaaki
core   +1 more source

Kesirli mertebeden integro-diferansiyel denklemlerin çözümü için sayısal bir yöntem

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
In this study, sinc-collocation method is introduced for solving Volterra integro-differential equations of fractional order. Fractional derivative is described in the Caputo sense often used in fractional calculus.
Sertan Alkan
doaj   +1 more source

An efficient scheme for solving a system of fractional differential equations with boundary conditions

open access: yesAdvances in Difference Equations, 2017
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.
Veysel Fuat Hatipoglu   +2 more
doaj   +1 more source

Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method

open access: yesResults in Applied Mathematics
In this paper, we employ a nonclassical sinc-collocation method to compute numerical solutions for singularly perturbed singular third-order boundary value problems prevalent in various scientific and engineering domains. Utilizing the sinc approximation
A. Alipanah, K. Mohammadi, R.M. Haji
doaj   +1 more source

Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method

open access: yesAdvances in Difference Equations, 2017
We provide the numerical solution of a Volterra integro-differential equation of parabolic type with memory term subject to initial boundary value conditions.
Atefeh Fahim   +3 more
doaj   +1 more source

Collocation Method to Solve Elliptic Equations, Bivariate Poly-Sinc Approximation

open access: yes, 2016
The paper proposes a collocation method to solve bivariate elliptic partial differential equations. The method uses Lagrange approximation based on Sinc point collocations. The proposed approximation is collocating on non-equidistant interpolation points
Baumann, Gerd, Youssef, Maha Ragab
core  

Series Solution for Painlevé Equation II

open access: yesWalailak Journal of Science and Technology, 2014
The Painlev'e equations are second order ordinary differential equations which can be grouped into six families, namely Painlev'e equation I, II,…, VI.
Fazle MABOOD   +3 more
doaj   +1 more source

Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method

open access: yesComplexity, 2020
Although many kinds of numerical methods have been announced for the predator-prey system, simple and efficient methods have always been the direction that scholars strive to pursue.
Mingjing Du, Pengfei Ning, Yulan Wang
doaj   +1 more source

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