کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422033 1340595 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some remarks on a new DQ-based method for solving a class of Volterra integro-differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some remarks on a new DQ-based method for solving a class of Volterra integro-differential equations
چکیده انگلیسی

In this paper a numerical Picard-like method, which combines successive approximations with integral and differential quadrature, is considered to solve some Volterra integro-differential equations where rational functions are involved. Under certain conditions, the method provides solutions in explicit form, without any recursive computation, and for some cases it is possible to give a formula to compute the related error. Several numerical examples are proposed to illustrate the behaviour of the method, by comparing it, where possible, with some existing methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 1, 15 September 2012, Pages 399-407
نویسندگان
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