The natural transform decomposition method (NTDM) is a relatively new transformation for finding an approximate differential equation solution. In the current study, NTDM has been used obtaining solution of fractional-order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. tested three nonlinear cases GPZK absolute errors are analyzed by proposed and q-homotopy analysis (q-HATM). 3D 2D ...

in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

Abstract We propose a new modification of homotopy perturbation method (HPM) called the δ -homotopy transform ( -HPTM). This consists Laplace method, HPM, and control parameter . convergence in this helps adjusting controlling region series solution overcome some limitations HPM HPTM. The -HPTM q-homotopy analysis (q-HATM) are considered to study generalized time-fractional perturbed $(3+1)$ <m...

In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to find the series solution of this equation via a reliable algorithm. c ⃝ 2014 IAUCTB. All rights reserved.