Fractional ReactionDiffusion Model: An Efficient Computational Technique for Nonlinear Time-Fractional Schnakenberg Model
- Title
- Fractional ReactionDiffusion Model: An Efficient Computational Technique for Nonlinear Time-Fractional Schnakenberg Model
- Creator
- Malagi N.S.; Prakasha D.G.; Veeresha P.; Prasannakumara B.C.
- Description
- In this article, the q-homotopy analysis transform method (q-HATM) is committed to finding the solutions and analyzing the gathered results for the nonlinear fractional-order reactiondiffusion systems such as the fractional Schnakenberg model. These models are well known for the modelling of morphogen in developmental biology. The efficiency and reliability of the q-HATM, which is the proper mixture of Laplace transform and q-HAM, always keep it in a better position in comparison with many other analytical techniques. By choosing a precise value for the auxiliary parameter ?, one can modify the region of convergence of the series solution. In the current framework, the investigation of the Schnakenberg models is implemented with exciting results. The acquired results guarantee that the considered method is very satisfying and scrutinizes the complex nonlinear issues that arise in the arena of science and technology. 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
- Source
- Lecture Notes in Networks and Systems, Vol-415, pp. 427-454.
- Date
- 2023-01-01
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Subject
- Homotopy analysis method; Laplace transform; LiouvilleCaputo derivative; Schnakenberg model
- Coverage
- Malagi N.S., Department of Studies in Mathematics, Davangere University, Davangere, Shivagangothri, 577007, India; Prakasha D.G., Department of Studies in Mathematics, Davangere University, Davangere, Shivagangothri, 577007, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru-560029, India; Prasannakumara B.C., Department of Studies in Mathematics, Davangere University, Davangere, Shivagangothri, 577007, India
- Rights
- Restricted Access
- Relation
- ISSN: 23673370; ISBN: 978-981190178-2
- Format
- Online
- Language
- English
- Type
- Conference paper
Collection
Citation
Malagi N.S.; Prakasha D.G.; Veeresha P.; Prasannakumara B.C., “Fractional ReactionDiffusion Model: An Efficient Computational Technique for Nonlinear Time-Fractional Schnakenberg Model,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/20029.