Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order

Ahmed, Mufeedah Maamar Salih

Article Details

Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order

Authors:

Ahmed, Mufeedah Maamar Salih

Publisher:

جامعة المرقب - كلية الآداب والعلوم قصر الأخيار

Journal:

مجلة العلوم الإنسانية والتطبيقية Vol.2019 Issue 7, pp.263-274

Document Type:

Article

Publication Date:

6/2019

Document Language:

English

Document ID (Org No.):

2001171033

Keywords:

Abstract:

 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.

Article Details

Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order

Authors:

Ahmed, Mufeedah Maamar Salih

Publisher:

جامعة المرقب - كلية الآداب والعلوم قصر الأخيار

Journal:

مجلة العلوم الإنسانية والتطبيقية Vol.2019 Issue 7, pp.263-274

Document Type:

Article

Publication Date:

6/2019

Document Language:

English

Document ID (Org No.):

2001171033

المعادلات التفاضلية

علم الرياضيات

التكامل الكسري

Issues

Article Details

Classical Comparison of Numerical Methods for Solving Differential Equations of Fractional Order

Authors: Ahmed, Mufeedah Maamar Salih

Publisher: جامعة المرقب - كلية الآداب والعلوم قصر الأخيار

Journal: مجلة العلوم الإنسانية والتطبيقية Vol.2019 Issue 7, pp.263-274

Document Type: Article

Publication Date: 6/2019

Document Language: English

Document ID (Org No.): 2001171033

المعادلات التفاضلية

علم الرياضيات

التكامل الكسري

Issues

Authors:

Ahmed, Mufeedah Maamar Salih

Publisher:

جامعة المرقب - كلية الآداب والعلوم قصر الأخيار

Journal:

مجلة العلوم الإنسانية والتطبيقية Vol.2019 Issue 7, pp.263-274

Document Type:

Article

Publication Date:

6/2019

Document Language:

English

Document ID (Org No.):

2001171033