کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419804 1631772 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Operational matrix approach for the solution of partial integro-differential equation
ترجمه فارسی عنوان
ماتریس عملیاتی برای حل معادله انتگرال-دیفرانسیل جزئی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper, an effective numerical method is introduced for the treatment of Volterra singular partial integro-differential equations. They are based on the operational and almost operational matrix of integration and differentiation of 2D shifted Legendre polynomials. The methods convert the singular partial integro-differential equation in to a system of algebraic equations. Convergence analysis and error estimates are derived for the proposed method. Illustrative examples are included to demonstrate the validity and applicability of the technique.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 283, 20 June 2016, Pages 195-207
نویسندگان
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