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
| المستخلص: |
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. |
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عناصر مشابهة
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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)
