Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 7 November 2022
Issue publication date: 2 January 2023
Abstract
Purpose
The purpose of this paper is to present the residual power series method for solving the space time fractional variable coefficients Ito system.
Design/methodology/approach
A weighted algorithm based on the residual power series method is used numerical solution of the space time fractional Ito system variable coefficients. The authors show that this technique yields the analytical solution of the desired problem in the form of a rapidly convergent series with easily computable components.
Findings
The authors illustrate that the proposed method produces satisfactory results with respect to the other semi analytical methods. The reliability of the method and the reduction in the size of computational domain give this method a wider applicability.
Originality/value
This research presents, for the first time, a new modification of the proposed technique for aforementioned problems and some interesting results are obtained.
Keywords
Acknowledgements
MSC(2010): 35R11, 34A05, 34C14, 70S10
This research work is dedicated to Padham Shri (Late) Baba Iqbal Singh ji.
Citation
Kour, B., Inc, M. and Arora, A. (2023), "Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation", Multidiscipline Modeling in Materials and Structures, Vol. 19 No. 1, pp. 1-20. https://doi.org/10.1108/MMMS-05-2022-0097
Publisher
:Emerald Publishing Limited
Copyright © 2022, Emerald Publishing Limited