Theoretical analysis of Sinc-Nyström methods for Volterra integral equations
نویسندگان
چکیده
منابع مشابه
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Theoretical Analysis of Sinc-Nyström Methods for Volterra Integral Equations
In this paper, three theoretical results are presented on Sinc-Nyström methods for Volterra integral equations of the first and second kind that have been proposed by Muhammad et al. On their methods, the following two points have been desired to be improved: 1) their methods include a tuning parameter hard to be found unless the solution is given, and 2) convergence has not been proved in a pr...
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s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c ⃝ 2013 University of Tartu THEORETICAL ANALYSIS OF A SINC-NYSTRÖM METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS AND ITS IMPROVEMENT
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In this paper, the numerical solutions of linear and nonlinear Volterra integral equations with nonvanishing delay are considered by two methods. The methods are developed by means of the sinc approximation with the single exponential (SE) and double exponential (DE) transformations. The existence and uniqueness of sinc-collocation solutions for these equations are provided. Thes...
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In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear d...
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عنوان ژورنال:
- Math. Comput.
دوره 84 شماره
صفحات -
تاریخ انتشار 2015