کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706342 1012457 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate solutions of linear Volterra integral equation systems with variable coefficients
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Approximate solutions of linear Volterra integral equation systems with variable coefficients
چکیده انگلیسی

In this paper, a new approximate method has been presented to solve the linear Volterra integral equation systems (VIEs). This method transforms the integral system into the matrix equation with the help of Taylor series. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to show this capability and robustness, some systems of VIEs are solved by the presented method in order to obtain their approximate solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 34, Issue 11, November 2010, Pages 3451–3464
نویسندگان
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