کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473539 698797 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regarding polynomial approximation for ordinary differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Regarding polynomial approximation for ordinary differential equations
چکیده انگلیسی

In this article, we consider an application of the approximate iterative method of Dzyadyk [V.K. Dzyadyk, Approximation methods for solutions of differential and integral equations, VSP, Utrecht, The Netherlands, 1995] to the construction of approximate polynomial solutions of ordinary differential equations. We illustrate that this method allows construction of polynomials of low degree with sufficiently high accuracy by examples, and as a result such polynomials can be used in practical applications. Moreover, Dzyadyk’s method produces an a priori estimate for the polynomial approximation of the solution of Cauchy problems. For the application of this method a Cauchy problem should be rewritten as the corresponding integral equation, followed by the replacement of the integrand by its Lagrange interpolation polynomial and Picard iterations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 6, March 2008, Pages 1122–1128
نویسندگان
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