Solution for Fractional KuramotoSivashinsky Equation Using Novel Computational Technique
- Title
- Solution for Fractional KuramotoSivashinsky Equation Using Novel Computational Technique
- Creator
- Veeresha P.; Prakasha D.G.
- Description
- In this paper, we analyse the nonlinear model describing the different physical and chemical phenomena, namely KuramotoSivashinsky equation. For the fractional KS (FKS) equation the approximated analytical solution is obtained with the help of the q-homotopy analysis transform method (q-HATM). The projected technique is a mixture of Laplace transform and homotopy analysis method. The considered technique offers ?-curves that show convergence range of the obtained series solution. To confirm the efficiency and applicability of the projected scheme, we consider four distinct examples. The numerical study is conducted to authorize the accuracy and reliability of the considered method. Further, natures of the achieved results have been presented for different order. The obtained solution illuminates that, the projected algorithm is very effective and easy to implement to examine the behaviour nonlinear models exist in science and technology. 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited part of Springer Nature.
- Source
- International Journal of Applied and Computational Mathematics, Vol-7, No. 2
- Date
- 2021-01-01
- Publisher
- Springer
- Subject
- Fractional KuramotoSivashinsky equations; Laplace transform; q-Homotopy analysis transform 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, Karnataka, India
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Veeresha P.; Prakasha D.G., “Solution for Fractional KuramotoSivashinsky Equation Using Novel Computational Technique,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/15807.