کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1137715 | 1489184 | 2009 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Adomian decomposition method with orthogonal polynomials: Legendre polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Adomian decomposition method with orthogonal polynomials: Legendre polynomials Adomian decomposition method with orthogonal polynomials: Legendre polynomials](/preview/png/1137715.png)
چکیده انگلیسی
This paper illustrates the using of orthogonal polynomials to modify the Adomian decomposition method. The method of employing Legendre polynomials to improve the Adomian decomposition method is presented here and compared to the method of using Chebyshev polynomials. The presented modified Adomian decomposition method is validated through an example and advantage as well as efficiency of this method is verified through investigating and comparing the results. In this paper, it is concluded that both orthogonal polynomials: Chebyshev and Legendre polynomials can be successfully used for the Adomian decomposition method and comparatively the Chebyshev expansion provides the better estimation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 49, Issues 5–6, March 2009, Pages 1268–1273
Journal: Mathematical and Computer Modelling - Volume 49, Issues 5–6, March 2009, Pages 1268–1273
نویسندگان
Yucheng Liu,