کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635122 1340707 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
چکیده انگلیسی

In this paper, we present a new method for solving a singular nonlinear second-order periodic boundary value problem. Its analytical solution is represented in the form of series in the reproducing kernel space. In the mean time, the n  -term approximation un(x)un(x) to the analytical solution u(x)u(x) is obtained and is proved to converge to the analytical solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 192, Issue 2, 15 September 2007, Pages 389–398
نویسندگان
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