کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4645169 1632196 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new Jacobi rational–Gauss collocation method for numerical solution of generalized pantograph equations
ترجمه فارسی عنوان
یک روش جابجایی جدید جاکوبی روش گاوس برای حل عددی معادلات پانزدهم تعمیم یافته
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی

This paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, a new spectral collocation method is applied to solve the generalized pantograph equation with variable coefficients on a semi-infinite domain. This method is based on Jacobi rational functions and Gauss quadrature integration. The Jacobi rational-Gauss method reduces solving the generalized pantograph equation to a system of algebraic equations. Reasonable numerical results are obtained by selecting few Jacobi rational–Gauss collocation points. The proposed Jacobi rational–Gauss method is favorably compared with other methods. Numerical results demonstrate its accuracy, efficiency, and versatility on the half-line.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 77, March 2014, Pages 43–54
نویسندگان
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