A new computational technique for the analytic treatment of time-fractional EmdenFowler equations
- Title
- A new computational technique for the analytic treatment of time-fractional EmdenFowler equations
- Creator
- Malagi N.S.; Veeresha P.; Prasannakumara B.C.; Prasanna G.D.; Prakasha D.G.
- Description
- This paper presents the study of fractional EmdenFowler (FEF) equations by utilizinga new adequate procedure, specifically the q-homotopy analysis transform method (q-HATM). The EF equation has got greater significance in both physical and mathematical investigation of capillary and nonlinear dispersive gravity waves. The projected technique is tested by considering four illustrations of the time-fractional EF equations. The q-HATM furnish ?, known as an auxiliary parameter, by the support of ? we can modulate the various stages of convergence of the series solution. Additionally, to certify the resolution and accurateness of the proposed method we fitted the suitable numerical simulations. The redeem results guarantee that the proposed process is more convincing and scrutinizes the extremely nonlinear issues emerging in the field of science and engineering. 2021 International Association for Mathematics and Computers in Simulation (IMACS)
- Source
- Mathematics and Computers in Simulation, Vol-190, pp. 362-376.
- Date
- 2021-01-01
- Publisher
- Elsevier B.V.
- Subject
- Caputo derivative; EmdenFowler equation; Laplace transform; q-homotopy analysis method
- Coverage
- Malagi N.S., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Prasannakumara B.C., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Prasanna G.D., Department of Physics, Davangere University, Shivagangothri, Davangere, 577007, India; Prakasha D.G., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India
- Rights
- Restricted Access
- Relation
- ISSN: 3784754; CODEN: MCSID
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Malagi N.S.; Veeresha P.; Prasannakumara B.C.; Prasanna G.D.; Prakasha D.G., “A new computational technique for the analytic treatment of time-fractional EmdenFowler equations,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/15554.