TY - JOUR
TI - Multistage optimal homotopy asymptotic method for the K(2,2) equation arising in solitary waves theory
AU - Ali Shah Niaz
AU - Ahmad Imtiaz
AU - Abu-Zinadah Hanaa
AU - Khedher Khaled Mohamed
AU - Ahmad Hijaz
JN - Thermal Science
PY - 2021
VL - 25
IS - 102
SP - 199
EP - 205
PT - Article
AB - The paper is concern to the approximate analytical solution of K(2,2) using the multistage homotopy asymptotic method which are used in modern physics and engineering. The suggested algorithm is an accurate, effective, and simple to-utilize semi-analytic tool for non-linear problems, and in this manner the current investigation highlights the efficiency and accuracy of the method for the solution of non-linear PDE for large time span. Numerical comparison with the variational iteration method and with homotopy asymptotic method shows the efficacy and accuracy of the proposed method.