کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630937 1340611 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
چکیده انگلیسی

We introduce a new method to solve high order linear differential equations with initial and boundary conditions numerically. In this method, the approximate solution is based on rational interpolation and collocation method. Since controlling the occurrence of poles in rational interpolation is difficult, a construction which is found by Floater and Hormann [1] is used with no poles in real numbers. We use the Bernstein series solution instead of the interpolation polynomials in their construction. We find that our approximate solution has better convergence rate than the one found by using collocation method. The error of the approximate solution is given in the case of the exact solution f ∈ Cd+2[a, b].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 22, 15 July 2011, Pages 9438–9450
نویسندگان
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