What is it about?
A novel and efficient method based on the fractional Euler function together with the collocation method is proposed to solve time-fractional partial differential equations. Furthermore, we discuss error analysis for this method. Finally, the numerical technique is implemented for several examples to illustrate the superiority and efficiency of the proposed method in comparison with some other methods.
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Why is it important?
The new numerical method is discussed based on the fractional Euler function together with the collocation method is proposed to solve time-fractional partial differential equations. Also, we present the method of calculating the operational matrix in a new way. These matrices with the help of the collocation method reduce the problem to a system of algebraic equations that can be easily solved by any usual numerical methods.
Perspectives
Writing this article was a great pleasure as it has co-authors with whom I have had long-standing collaborations. This article also leads to researchers groups contacting me to greater involvement in this field.
Dr. Haniye Dehestani
Alzahra University
Read the Original
This page is a summary of: A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations, International Journal of Computer Mathematics, February 2021, Taylor & Francis, DOI: 10.1080/00207160.2021.1875131.
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