A new analysis for the Keller-Segel model of fractional order

Sunil Kumar; Amit Kumar; Ioannis K. Argyros

doi:10.1007/s11075-016-0202-z

A new analysis for the Keller-Segel model of fractional order

Sunil Kumar
, Amit Kumar
, Ioannis K. Argyros

National Institute of Technology Jamshedpur
Cameron University

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

In this study, we discuss the application of an analytical technique namely modified homotopy analysis transform method (MHATM) for solving coupled one- dimensional time-fractional Keller-Segel (K-S) equations. The MHATM is a new analytical technique based on homotopy polynomial. We provide a convergence analysis of MHATM and the solution obtained by the proposed method is verified through different graphical representations. The results demonstrate that the proposed methodology is very useful and simple in the determination of the solution of the K-S equations of fractional order.

Original language	English
Pages (from-to)	213-228
Number of pages	16
Journal	Numerical Algorithms
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s11075-016-0202-z
State	Published - 1 May 2017
Externally published	Yes

Keywords

Convergence study
Homotopy analysis transform method approximate solution
Homotopy polynomial
Keller- Segel equation

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10.1007/s11075-016-0202-z

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title = "A new analysis for the Keller-Segel model of fractional order",

abstract = "In this study, we discuss the application of an analytical technique namely modified homotopy analysis transform method (MHATM) for solving coupled one- dimensional time-fractional Keller-Segel (K-S) equations. The MHATM is a new analytical technique based on homotopy polynomial. We provide a convergence analysis of MHATM and the solution obtained by the proposed method is verified through different graphical representations. The results demonstrate that the proposed methodology is very useful and simple in the determination of the solution of the K-S equations of fractional order.",

keywords = "Convergence study, Homotopy analysis transform method approximate solution, Homotopy polynomial, Keller- Segel equation",

author = "Sunil Kumar and Amit Kumar and Argyros, \{Ioannis K.\}",

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AU - Kumar, Sunil

AU - Kumar, Amit

AU - Argyros, Ioannis K.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - In this study, we discuss the application of an analytical technique namely modified homotopy analysis transform method (MHATM) for solving coupled one- dimensional time-fractional Keller-Segel (K-S) equations. The MHATM is a new analytical technique based on homotopy polynomial. We provide a convergence analysis of MHATM and the solution obtained by the proposed method is verified through different graphical representations. The results demonstrate that the proposed methodology is very useful and simple in the determination of the solution of the K-S equations of fractional order.

AB - In this study, we discuss the application of an analytical technique namely modified homotopy analysis transform method (MHATM) for solving coupled one- dimensional time-fractional Keller-Segel (K-S) equations. The MHATM is a new analytical technique based on homotopy polynomial. We provide a convergence analysis of MHATM and the solution obtained by the proposed method is verified through different graphical representations. The results demonstrate that the proposed methodology is very useful and simple in the determination of the solution of the K-S equations of fractional order.

KW - Convergence study

KW - Homotopy analysis transform method approximate solution

KW - Homotopy polynomial

KW - Keller- Segel equation

UR - https://www.scopus.com/pages/publications/84986294127

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DO - 10.1007/s11075-016-0202-z

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VL - 75

SP - 213

EP - 228

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 1

ER -

A new analysis for the Keller-Segel model of fractional order

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Keywords

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