Adomian decomposition method for solving abelian differential equation.

Abstract

In this writing, Adomian Decomposition Method is used for solving Abelian Differential Equation. Abelian Differential Equation is a nonlinear differential equation which is hard to solve analytically. A special case of Abelian Differential Equation is oftenly used to model the population growth of deer in a certain place. In this research, a numerical equation to solve Abelian Differential Equation is constructed using Adomian Decomposition Method. Furthermore, the validity of the results will be compared with the exact solution and numerical using fourth order Runge- Kutta method. The numerical results show that Adomian Decomposition Method is suitable for solving Abelian Differential Equation. Beside that, the procedure of Adomian Decomposition Method is used to solve the population growth of deer in a certain place.