A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations
| Autor: | B. C. Prasannakumara, Pundikala Veeresha, Naveen Sanju Malagi, G.D. Prasanna, Doddabhadrappla Gowda Prakasha |
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| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
General Computer Science Series (mathematics) Field (physics) Gravitational wave Applied Mathematics Process (computing) Resolution (logic) Theoretical Computer Science Computational Technique Nonlinear system Modeling and Simulation Convergence (routing) Applied mathematics Mathematics |
| Zdroj: | Mathematics and Computers in Simulation. 190:362-376 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/j.matcom.2021.05.030 |
| Popis: | This paper presents the study of fractional Emden–Fowler (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 ℏ , known as an auxiliary parameter, by the support of ℏ 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. |
| Databáze: | OpenAIRE |
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