APPLICATION OF HOMOTOPY-PADE TECHNIQUE TO THE VOLTERRA'S PREY AND PREDATOR PROBLEM

作者：Faghidian S A^*; Zand M Moghimi; Farjami Y; Farrahi G H

来源：Applied and Computational Mathematics, 2011, 10(2): 262-270.

• Homotopy Analysis Method
• Homotopy-Pade Technique
• System of Nonlinear Differential Equations
• Problem of Prey and Predator

In this study, the Volterra's prey and predator problem is investigated. Homotopy-Pade technique is utilized to find analytic solutions to the problem. Results show the accuracy of the method comparing with other methods. It is illustrated that homotopy-Pade technique can greatly enlarge the convergence region of the solution series.

• 出版日期2011