A computational approach for shallow water forced KortewegDe Vries equation on critical flow over a hole with three fractional operators
- Title
- A computational approach for shallow water forced KortewegDe Vries equation on critical flow over a hole with three fractional operators
- Creator
- Veeresha P.; Yavuz M.; Baishya C.
- Description
- The KortewegDe Vries (KdV) equation has always provided a venue to study and generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the behaviors of forced KdV equation describing the free surface critical flow over a hole by finding the solution with the help of q-homotopy analysis transform technique (q-HATT). he projected method is elegant amalgamations of q-homotopy analysis scheme and Laplace transform. Three fractional operators are hired in the present study to show their essence in generalizing the models associated with power-law distribution, kernel singular, non-local and non-singular. The fixed-point theorem employed to present the existence and uniqueness for the hired arbitrary-order model and convergence for the solution is derived with Banach space. The projected scheme springs the series solution rapidly towards convergence and it can guarantee the convergence associated with the homotopy parameter. Moreover, for diverse fractional order the physical nature have been captured in plots. The achieved consequences illuminates, the hired solution procedure is reliable and highly methodical in investigating the behaviours of the nonlinear models of both integer and fractional order. 2021 Balikesir University. All rights reserved.
- Source
- International Journal of Optimization and Control: Theories and Applications, Vol-11, No. 3, pp. 52-67.
- Date
- 2021-01-01
- Publisher
- Balikesir University
- Subject
- Fixed point theorem; Force KdV equation; Fractional derivatives; q-Homotopy analysis transform technique
- Coverage
- Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University, Bengaluru, 560029, India; Yavuz M., Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, Konya, 42090, Turkey, Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Cornwall, TR10, United Kingdom; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, India
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 21460957
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Veeresha P.; Yavuz M.; Baishya C., “A computational approach for shallow water forced KortewegDe Vries equation on critical flow over a hole with three fractional operators,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15941.