An Improved Version of Residual Power Series Method for Space-Time Fractional Problems

Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge and Soheil Salahshour

Advances in Mathematical Physics, 2022, vol. 2022, 1-9

Abstract: The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. The parameter λ allows us to establish the best numerical solutions for space-time fractional differential equations (STFDE). Since each problem has different Dirichlet boundary conditions, the best choice of the parameter λ depends on the problem. This is the major contribution of this research. The illustrated examples also show that the best approximate solutions of various problems are constructed for distinct values of parameter λ. Moreover, the efficiency and reliability of this technique are verified by the numerical examples.

Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/amp/2022/6174688.pdf (application/pdf)
http://downloads.hindawi.com/journals/amp/2022/6174688.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6174688

DOI: 10.1155/2022/6174688

Access Statistics for this article

More articles in Advances in Mathematical Physics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().