Adomian decomposition method for solving the population dynamics model of two species

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Putranto, Yulius Wahyu^1 ; Mungkasi, Sudi^2

Postgraduate Program in Mathematics Education, Faculty of Teacher Training and Education, Sanata Dharma University, Yogyakarta, Indonesia^1

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Yogyakarta, Indonesia^2

关键词: Adomian Decomposition Method;    Approximate solution;    Fast computation;    Population dynamics models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012045/pdf
DOI  :  10.1088/1742-6596/795/1/012045

来源: IOP

【 摘 要 】

Adomian decomposition method has been a powerful method to solve differential equations. In this paper, we propose the method to solve the population dynamics model of two species for mutualism, parasitism, and competition. These three scenarios are considered for the completion of our research. Adomian decomposition method uses initial values of the unknowns and provides series of approximate solutions to the problem. We obtain that the Adomian decomposition method provides fast computation for the solution.