Abstract
The main objective of the current work was to solve the multispecies predator-prey model. The techniques used here were called the variational iteration method (VIM) and the Adomian decomposition method (ADM). The advantage of this work is twofold. Firstly, the VIM reduces the computational work. Secondly, in comparison with existing techniques, the VIM is an improvement with regard to its accuracy and rapid convergence. The VIM has the advantage of being more concise for analytical and numerical purposes. Comparisons with the exact solution and the fourth-order Runge-Kutta method (RK4) show that the VIM is a powerful method for the solution of nonlinear equations.
Highlights
Variational iteration method: This method, which is a modified general Lagrange’s multiplier method[12], hasThe variational iteration method (VIM) was been shown to solve effectively, and accurately a proposed by He[1] initially with the aims to solve large class of nonlinear problems[4,5,6,7,8]
It has been applied to a wide of the method is that the solution of a mathematical class of deterministic and stochastic problems, linear problem with linearization assumption is used as initial and nonlinear, in physics, biology and chemical approximation or trial function, and a more highly reactions etc
We compare between the exact solution, VIM, Adomian decomposition method (ADM) and RK4 applied to multispecies predator-prey model
Summary
The variational iteration method (VIM) was been shown to solve effectively, and accurately a proposed by He[1] initially with the aims to solve large class of nonlinear problems[4,5,6,7,8]. The method has precise approximation at some special point can be shown reliable results in supplying analytical obtained. This approximation converges rapidly to an approximation that converges very rapidly[2,3,4,5,6,7,8].
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