TY - JOUR
TI - Analytical solutions of nonlinear Klein-Gordon equations using Multistep Modified Reduced Differential Transform Method
AU - Che Hussin Che Haziqah
AU - Md Ismail Ahmad Izani
AU - Kilicman Adem
AU - Azmi Amirah
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 317
EP - 326
PT - Article
AB - This paper explores the approximate analytical solution of nonlinear  Klein-Gordon equations (NKGE) by using Multistep Modified Reduced  Differential Transform Method (MMRDTM). Through this proposed strategy, the  nonlinear term is substituted by associating Adomian polynomials obtained by  utilization of a multistep approach. The NKGE solutions can be obtained with  a reduced number of computed terms. In addition, the approximate solutions  converge rapidly in a wide time region. Three examples are provided to  illustrate the effectiveness of the proposed method to obtain solutions for  the NKGE. Graphical results are shown to represent the behavior of the  solution so as to demonstrate the validity and accuracy of the MMRDTM.