کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626269 | 1631784 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Third order derivative free SPH iterative method for solving nonlinear systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
The majority of iterative methods to find roots of a function requires the evaluation of derivatives of this function. In this paper, based on the basic principle of the SPH method’s kernel approximation, a kernel approximation was constructed to compute first and second order derivatives through Taylor series expansion. Derivatives in our proposed method were replaced in a Newton-like iterative method to obtain a derivative free SPH iterative method for solving nonlinear systems. To illustrate that the new method has the same order of convergence as the considered iterative method, some numerical examples are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 270, 1 November 2015, Pages 557–566
Journal: Applied Mathematics and Computation - Volume 270, 1 November 2015, Pages 557–566
نویسندگان
Khalil Maatouk,