کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635017 1631838 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Iterative method for solving a nonlinear boundary value problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Iterative method for solving a nonlinear boundary value problem
چکیده انگلیسی
In this paper, a boundary value problem for a nonlinear second-order ordinary differential equation is studied. By means of the maximum principle we established the existence and the uniqueness of a solution of the problem. Then for finding the solution an iterative method is proposed. It is proved that this method converges much faster than the Picar successive approximations and in a particular case it gives two-sided monotone approximations to the exact solution of the problem. Finally, some illustrative examples are considered to confirm the efficiency of the method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 190, Issue 2, 15 July 2007, Pages 1675-1682
نویسندگان
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