کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640199 1341265 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variational iteration method for solving Troesch’s problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A variational iteration method for solving Troesch’s problem
چکیده انگلیسی

Troesch’s problem is an inherently unstable two-point boundary value problem. A new and efficient algorithm based on the variational iteration method and variable transformation is proposed to solve Troesch’s problem. The underlying idea of the method is to convert the hyperbolic-type nonlinearity in the problem into polynomial-type nonlinearities by variable transformation, and the variational iteration method is then directly used to solve this transformed problem. Only the second-order iterative solution is required to provide a highly accurate analytical solution as compared with those obtained by other analytical and numerical methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 10, 15 September 2010, Pages 3043–3047
نویسندگان
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