Solution for fractional potential KdV and Benjamin equations using the novel technique
- Title
- Solution for fractional potential KdV and Benjamin equations using the novel technique
- Creator
- Veeresha P.; Prakasha D.G.; Magesh N.; Christopher A.J.; Sarwe D.U.
- Description
- In this paper, we find the solutions for fractional potential Kortewegde Vries (p-KdV) and Benjamin equations using q-homotopy analysis transform method(q-HATM). The considered method is the mixture of q-homotopy analysis method and Laplace transform, and the Caputo fractional operator is considered in the present investigation. The projected solution procedure manipulates and controls the obtained results in a large admissible domain. Further, it offers a simple algorithm to adjust the convergence province of the obtained solution. To validate the q-HATM is accurate and reliable, the numerical simulations have been conducted for both equations and the outcomes are revealed through the plots and tables. Comparison between the obtained solutions with the exact solutions exhibits that, the considered method is efficient and effective in solving nonlinear problems associated with science and technology. 2021
- Source
- Journal of Ocean Engineering and Science, Vol-6, No. 3, pp. 265-275.
- Date
- 2021-01-01
- Publisher
- Shanghai Jiaotong University
- Subject
- Caputo fractional operator; Fractional Benjamin equation; GinzburgLandau equation; Laplace transform; Potential KdV equation; q-Homotopy analysis method
- Coverage
- Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Prakasha D.G., Department of Mathematics, Faculty of Science, Davangere University, Shivagangothri, Davangere, 577007, India; Magesh N., P. G. and Research Department of Mathematics, Govt. Arts College for Men, Krishnagiri, 635 001, India; Christopher A.J., P. G. and Research Department of Mathematics, Govt. Arts College for Men, Krishnagiri, 635 001, India; Sarwe D.U., Department of Mathematics, University of Mumbai, Kalina, Santacruz East, Mumbai, 400098, India
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 24680133
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Veeresha P.; Prakasha D.G.; Magesh N.; Christopher A.J.; Sarwe D.U., “Solution for fractional potential KdV and Benjamin equations using the novel technique,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/15691.