کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632803 1340654 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalization of Exp-function and other standard function methods
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Generalization of Exp-function and other standard function methods
چکیده انگلیسی
Exp-function and other standard function methods for solving nonlinear differential equations are generalized in this paper. An analytical criterion determining if a solution can be expressed in a form comprising standard functions is derived. New computational algorithm for automatic identification of the structure of the solution is constructed. The algorithm provides information if the solution can be expressed as a sum of standard functions, a ratio of sums of standard functions, or even a more complex algebraic form involving standard functions. Several examples are used to illustrate the proposed concept.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 8, 15 June 2010, Pages 2380-2393
نویسندگان
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