AUTHOR=Zada Laiq , Ali Nasir , Nawaz Rashid , Jamshed Wasim , Eid Mohamed R. , Tag El Din El Sayed M. , Khalifa Hamiden Abd El- Wahed , ElSeabee Fayza Abdel Aziz 

TITLE=Applying the natural transform iterative technique for fractional high-dimension equations of acoustic waves

JOURNAL=Frontiers in Energy Research

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/energy-research/articles/10.3389/fenrg.2022.979773

DOI=10.3389/fenrg.2022.979773

ISSN=2296-598X

ABSTRACT=<p>In the present study, the natural transform iterative method (NTIM) has been implemented for the solution of a fractional Zakharavo–Kuznetsov (FZK) equation. NTIM is a relatively new technique for handling non-linear fractional differential equations. The method is tested upon the two non-linear FZK equalities. The solution of the proposed technique has been compared with the existing perturbation–iteration algorithm (PIA) method and residual power series method (RPSM). From the numerical results, it is clear that the method handles non-linear differential equations very suitably and provides the results in very closed accord with the accurate solution. As a result, the NTIM approach is regarded as one of the finest analytical techniques for solving fractional-order linear and non-linear problems.</p>