Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order
| المصدر: | مجلة العلوم الإنسانية والتطبيقية |
|---|---|
| الناشر: | جامعة المرقب - كلية الآداب والعلوم قصر الأخيار |
| المؤلف الرئيسي: | Ahmed, Mufeedah Maamar Salih (Author) |
| المجلد/العدد: | ع7 |
| محكمة: | نعم |
| الدولة: |
ليبيا |
| التاريخ الميلادي: |
2019
|
| الشهر: | يونيو |
| الصفحات: | 263 - 274 |
| رقم MD: | 1026526 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | HumanIndex, AraBase |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Fractional Calculus | Caputo Fractional Differential Equations | Picard Iteration | Gauss-Seidel Method | Variationaliteration Method
|
| رابط المحتوى: |
عدد مرات التحميل
6
| LEADER | 01727nam a22002297a 4500 | ||
|---|---|---|---|
| 001 | 1764135 | ||
| 041 | |a eng | ||
| 044 | |b ليبيا | ||
| 100 | |a Ahmed, Mufeedah Maamar Salih |e Author |9 478546 | ||
| 245 | |a Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order | ||
| 260 | |b جامعة المرقب - كلية الآداب والعلوم قصر الأخيار |c 2019 |g يونيو | ||
| 300 | |a 263 - 274 | ||
| 336 | |a بحوث ومقالات |b Article | ||
| 520 | |b In this paper, a numerical method is presented for finding the solution of differential equations. The main objective is to find the approximate solution of fractional differential equation of order α. This work is a comparison of some available numerical methods for solving linear "nonlinear" DEqs. of fractional order. However, all the previous works avoid the term of fractional derivative and handle them as a restricted variation. The present study shows that when these methods are applied to linear "nonlinear" DEqs. of fractional order, they have different convergence and approximation error. | ||
| 653 | |a المعادلات التفاضلية |a علم الرياضيات |a التكامل الكسري | ||
| 692 | |b Fractional Calculus |b Caputo Fractional Differential Equations |b Picard Iteration |b Gauss-Seidel Method |b Variationaliteration Method | ||
| 773 | |4 العلوم الإنسانية ، متعددة التخصصات |6 Humanities, Multidisciplinary |c 017 |e Journal of Humanities and Applied Sciences |l 007 |m ع7 |o 0630 |s مجلة العلوم الإنسانية والتطبيقية |v 000 | ||
| 856 | |u 0630-000-007-017.pdf | ||
| 930 | |d y |p y |q n | ||
| 995 | |a HumanIndex | ||
| 995 | |a AraBase | ||
| 999 | |c 1026526 |d 1026526 | ||
عناصر مشابهة
-
Approximate Solutions for Cauchy-Euler Differential Equations with Riemann-Liouville's Fractional Derivatives via Runge-Kutta Techniques
بواسطة: Ahmed, Mufeedah Maamar Salih منشور: (2023) -
Bernoulli Differential Equation of Second Order with Fractional Derivative
بواسطة: Ahmed, Mufeedah Maamar Salih منشور: (2020) -
Numerical Methods For Solving Fractional Differential Equations
بواسطة: Al Shara, Safwan Muhammed Ahmed منشور: (2006) -
On Approximated Methods for Solving Fractional Differential Equations
بواسطة: Salih, Harith Muthana منشور: (2005) -
Solutions of Fractional Differential Equations with Two Parameters Using Bernstein Polynomials
بواسطة: الشطناوي، عبدالرحمن منشور: (2022)
