TY - JOUR A2 - Bǎleanu, Dumitru AU - Alomari, A. K. AU - Noorani, M. S. M. AU - Nazar, R. PY - 2009 DA - 2010/02/22 TI - On a New Reliable Algorithm SP - 710250 VL - 2009 AB - An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solutionof the problem in a sequence of time intervals; that is, HAM is converted into ahybrid numeric-analytic method called the multistage HAM (MSHAM). Comparisons between the MSHAM solutions and the fourth-order Runge-Kutta (RK4) numerical solutions reveal that the new technique is a promising toolfor the nonlinear systems of ordinary differential equations. SN - 1687-9643 UR - https://doi.org/10.1155/2009/710250 DO - 10.1155/2009/710250 JF - International Journal of Differential Equations PB - Hindawi Publishing Corporation KW - ER -