A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations
dc.contributor.author | Jena, Rajarama Mohan | |
dc.contributor.author | Chakraverty, Snehashish | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Adel, Waleed | |
dc.contributor.author | Rezazadeh, Hadi | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-03-07T13:38:11Z | |
dc.date.available | 2022-03-07T13:38:11Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this paper, the fractional reduced differential transform method (FRDTM) is used to obtain the series solution of time-fractional seventh-order Sawada-Kotera (SSK) and Lax's KdV (LKdV) equations under initial conditions (ICs). Here, the fractional derivatives are considered in the Caputo sense. The results obtained are contrasted with other previous techniques for a specific case, alpha = 1 revealing that the presented solutions agree with the existing solutions. Further, convergence analysis of the present results with an increasing number of terms of the solution and absolute error has also been studied. The behavior of the FRDTM solution and the effects on different values alpha are illustrated graphically. Also, CPU-time taken to obtain the solutions of the title problems using FRDTM has been demonstrated. | en_US |
dc.description.publishedMonth | 6 | |
dc.identifier.citation | Jena, Rajarama Mohan...et al. (2021). "A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations", Modern Physics Letters B, Vol. 35, No. 16. | en_US |
dc.identifier.doi | 10.1142/S0217984921502651 | |
dc.identifier.issn | 0217-9849 | |
dc.identifier.issue | 16 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5082 | |
dc.identifier.volume | 35 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Modern Physics Letters B | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Sawada–Kotera Equation | en_US |
dc.subject | Lax’s KDV Equation | en_US |
dc.subject | FRDTM | en_US |
dc.subject | Fractional Calculus | en_US |
dc.subject | Semi-Analytical Method | en_US |
dc.subject | Shallow Water | en_US |
dc.title | A robust technique based solution of time-fractional seventh-order Sawada-Kotera and Lax's KdV equations | tr_TR |
dc.title | A Robust Technique Based Solution of Time-Fractional Seventh-Order Sawada-Kotera and Lax's Kdv Equations | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
Files
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed upon to submission
- Description: