کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627571 | 1631812 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Laguerre polynomial approach for solving Lane–Emden type functional differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Laguerre polynomial approach for solving Lane–Emden type functional differential equations Laguerre polynomial approach for solving Lane–Emden type functional differential equations](/preview/png/4627571.png)
چکیده انگلیسی
In this paper, a numerical method, which is called the Laguerre collocation method, for the approximate solution of Lane–Emden type functional differential equations in terms of Laguerre polynomials are derived. The method is based on the matrix relations of Laguerre polynomials and their derivatives, and reduces the solution of the Lane–Emden type functional differential equation to the solution of a matrix equation corresponding to system of algebraic equations with the unknown Laguerre coefficients. Also, some illustrative examples are included to demonstrate the validity and applicability of the proposed method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 255–264
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 255–264
نویسندگان
Burcu Gürbüz, Mehmet Sezer,