Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations

Abdon Atangana

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Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations

机译：Sumudu同态摄动方法扩展到一维Keller-Segel方程的吸引子

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Using an iterative method based on the Sumudu transform, we have solved a system of non-linear partial differential equations, which is derived from attractor for Keller-Segel dynamics system. Graphical representations are provided and display biologically reasonable dependencies of the parameters values. The reliability of the SHPM and the reduced number of computations make the method broadly applicable. In addition, the SHPM calculations are very simple and straightforward. This study demonstrates that SHPM is a powerful and efficient tool for solving non-linear partial differential equations.

机译：使用基于Sumudu变换的迭代方法，我们求解了非线性偏微分方程组，该系统是从Keller-Segel动力学系统的吸引子导出的。提供了图形表示，并显示了生物学上合理的参数值依存关系。 SHPM的可靠性和减少的计算量使该方法广泛适用。此外，SHPM的计算非常简单明了。这项研究表明，SHPM是求解非线性偏微分方程的强大而有效的工具。

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来源
《Applied Mathematical Modelling》 |2015年第11期|2909-2916|共8页
作者
Abdon Atangana;
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作者单位

Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South Africa;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Attractor for one-dimensional Keller-Segel; Modified homotopy perturbation method; Nonlinear;

机译：一维Keller-Segel吸引子;改良的同伦摄动法;非线性的;

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1. THE DISCRETE HOMOTOPY PERTURBATION SUMUDU TRANSFORM METHOD FOR SOLVING PARTIAL DIFFERENCE EQUATIONS [J] . FIGEN OEZPINAR, FETHI BIN MUHAMMAD BELGACEM Discrete and continuous dynamical systems▼hSeries S . 2019,第3期

机译：求解局部差分方程的离散同型扰动Sumudu变换方法
2. The Homotopy Perturbation Sumudu Transform Method For Solving The Nonlinear Partial Differential Equations [J] . HANAN M. ABED RAHMAN WSEAS Transactions on Mathematics . 2017,第Pta2期

机译：用于求解非线性偏微分方程的同型扰动Sumudu变换方法
3. Application of Homotopy Perturbation and Sumudu Transform Method for Solving Burgers Equations [J] . Amjad Ezoo Hamza, Tarig M. Elzaki American Journal of Theoretical and Applied Statistics . 2015,第6期

机译：同伦摄动和Sumudu变换方法在Burgers方程求解中的应用
4. Application of Homotopy Perturbation Sumudu Transform Method to Linear and Nonlinear Schrodinger Equations [C] . Zeynep Fidan Kocak, Dilara Altan Koc International Conference of Numerical Analysis and Applied Mathematics . 2016

机译：同型扰动Sumudu变换方法在线性和非线性Schrodinger方程的应用
5. Extending and Simplifying Existing Piecewise-Linear Homotopy Methods for Solving Nonlinear Systems of Equations [D] . Wheaton, Ira, Jr. 2017

机译：求解方程组非线性系统的现有分段线性同伦方法的扩展和简化
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

机译：同伦摄动法和同伦分析法对Allen-Cahn方程的近似解析解
7. Application of Homotopy Perturbation Sumudu Transform Method for Solving Nonlinear Fractional Heat-like Equations [O] . Mohamed Meabed Khader 2017

机译：同型扰动Sumudu变换方法求解非线性分数热像等方程的应用

Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations

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