کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635104 1340706 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constructing accurate polynomial approximations for nonlinear differential initial value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Constructing accurate polynomial approximations for nonlinear differential initial value problems
چکیده انگلیسی

This paper deals with the construction of approximate polynomial solutions, with a prefixed accuracy, of initial value problems for nonlinear ordinary differential equations. By approximating the right-hand side of the equation by an appropriate two-variables Chebyshev polynomial, then applying Frobenius method, and finally truncating this application, an approximate polynomial solution is constructed. Recent results of Chen et al. (2003) [B. Chen, R. García-Bolós, L. Jódar, M.D. Roselló, The truncation error of the two-variable Chebyshev series expansions, Comput. Math. Appl. 45 (2003) 1647–1653] and Chen et al. (2005) [B. Chen, R. García-Bolós, L. Jódar, M.D. Roselló, Chebyshev polynomial approximations for nonlinear differential initial value problems, Nonlinear Anal. 63 (5–7) (2005) e629–e637] are significantly improved in two directions by extending the existence domain of the approximation and by reducing the degree of the truncation polynomial. Several examples are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 193, Issue 2, 1 November 2007, Pages 523–534
نویسندگان
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