Author/Authors :
Moaddy, K. Universiti Kebangsaan Malaysia - School of Mathematical Sciences, Malaysia , Hashim, I. Universiti Kebangsaan Malaysia - School of Mathematical Sciences, Malaysia , Alomari, A. K. Jerash Private University - Faculty of Nursing and Science - Department of Sciences, Jordan , MOMANI, S. University of Jordan - Faculty of Science - Department of Mathematics, Jordan
Abstract :
This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or non-locally linearize the nonlinear term of the differential equation. Two examples are given to demonstrate the efficiency of this scheme.
Keywords :
Adomian decomposition method , Logistic equation , Lotka , Volterra system , non , standard schemes
