Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis-Reference-Cited by-同舟云学术

Fractional view evaluation system of Schrödinger-KdV equation by a comparative analysis

Published:2022 Issue:11 Volume:7 Page:19846-19864
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shah Rasool¹,Hyder Abd-Allah²³,Iqbal Naveed⁴,Botmart Thongchai⁵

Affiliation:

1. Department of Mathematics, Abdul Wali khan university Mardan 23200, Pakistan

2. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

3. Department of Engineering Mathematics and Physics, Faculty of Engineering, Al-Azhar University, Cairo, Egypt

4. Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il 81451, Saudi Arabia

5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

<abstract><p>The time-fractional coupled Schrödinger-KdV equation is an interesting mathematical model because of its wide and significant application in mathematics and applied sciences. A fractional coupled Schrödinger-KdV equation in the sense of Caputo derivative is investigated in this article. Namely, we provide a comparative study of the considered model using the Adomian decomposition method and the homotopy perturbation method with Shehu transform. Approximate solutions obtained using the Adomian decomposition and homotopy perturbation methods were numerically evaluated and presented in graphs and tables. Then, these solutions were compared to the exact solutions, demonstrating the simplicity, effectiveness, and good accuracy of the applied method. To demonstrate the accuracy and efficiency of the suggested techniques, numerical problem are provided.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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