کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642848 1341359 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving singular two-point boundary value problem in reproducing kernel space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solving singular two-point boundary value problem in reproducing kernel space
چکیده انگلیسی

In this paper, we present a new method for solving singular two-point boundary value problem for certain ordinary differential equation having singular coefficients. Its exact solution is represented in the form of series in reproducing kernel space. In the mean time, the n  -term approximation un(x)un(x) to the exact solution u(x)u(x) is obtained and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 205, Issue 1, 1 August 2007, Pages 6–15
نویسندگان
, ,