The differential transform method for solving the model describing biological species living together

Subject Integral equations and integral transforms
Title The differential transform method for solving the model describing biological species living together
Author(s) Abolfazl Tari
Keywords Biological species living together‎, ‎Differential transform method‎, ‎Volterra integro-differential equations‎, ‎Variational iteration method
Abstract ‎F‎. ‎Shakeri‎. ‎and M‎. ‎Dehghan in [1] presented the variational iteration method for solving the‎ ‎model describing biological species living together‎. ‎Here‎, ‎we suggest the differential transform (DT) method for‎ ‎finding the numerical solution of this problem‎. ‎To this end‎, ‎we give some preliminary results of the DT and by proving some theorems‎, ‎we‎ ‎show that the DT method can be easily applied to mentioned problem‎. ‎Finally several test problems are solved and compared with variational iteration method‎.