کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709475 1012854 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations
چکیده انگلیسی

A new explicit formula for the integrals of Bernstein polynomials of any degree for any order in terms of Bernstein polynomials themselves is derived. A fast and accurate algorithm is developed for the solution of high even-order boundary value problems (BVPs) with two point boundary conditions but by considering their integrated forms. The Bernstein–Petrov–Galerkin method (BPG) is applied to construct the numerical solution for such problems. The method is then tested on examples and compared with other methods. It is shown that the BPG yields better results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 4, April 2011, Pages 559–565
نویسندگان
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