کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645288 | 1632206 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An approximation method for solving systems of Volterra integro-differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An approximation method for solving systems of Volterra integro-differential equations An approximation method for solving systems of Volterra integro-differential equations](/preview/png/4645288.png)
چکیده انگلیسی
The approximate method for solving a system of nonlinear Volterra integro-differential equations introduced in this paper, involves the use of biorthogonal systems in adequate spaces of continuous functions associated with such a system. That allows to calculate, in an approximate way, the solution of such a system only by linear combinations of evaluations of adequate points at the basic functions and integrals of these functions, that are piecewise univariate and bivariate polynomials of degree one and two, respectively. We obtain an explicit control for the error, implement the method and illustrate the results with some numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 67, May 2013, Pages 126-135
Journal: Applied Numerical Mathematics - Volume 67, May 2013, Pages 126-135