Browsing by Author "Prakash, Amit"

Now showing 1 - 2 of 2

Citation - WoS: 6
Citation - Scopus: 10
An Efficient Hybrid Computational Technique for the Time Dependent Lane-Emden Equation of Arbitrary Order
(Elsevier, 2022) Prakash, Amit; Baleanu, Dumitru; Goyal, Manish
The study of dynamic behaviour of nonlinear models that arise in ocean engineering play a vital role in our daily life. There are many examples of ocean water waves which are nonlinear in nature. In shallow water, the linearization of the equations imposes severe conditions on wave amplitude than it does in deep water, and the strong nonlinear effects are observed. In this paper, q-homotopy analysis Laplace transform scheme is used to inspect time dependent nonlinear Lane-Emden type equation of arbitrary order. It offers the solution in a fast converging series. The uniqueness and convergence analysis of the considered model is presented. The given examples confirm the competency as well as accuracy of the presented scheme. The behavior of obtained solution for distinct orders of fractional derivative is discussed through graphs. The auxiliary parameter h over bar offers a suitable mode of handling the region of convergence. The outcomes reveal that the q-HATM is attractive, reliable, efficient and very effective. (c) 2021 Shanghai Jiaotong University. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
Citation - WoS: 62
Citation - Scopus: 80
A New Iterative Technique for a Fractional Model of Nonlinear Zakharov-Kuznetsov Equations Via Sumudu Transform
(Elsevier Science inc, 2018) Kumar, Manoj; Baleanu, Dumitru; Prakash, Amit
The main objective of this paper is to suggest a new computational technique namely new iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional Zakharov-Kuznetsov (FZK) equation in two dimensions. We implemented the proposed technique on two test examples, plotted the solution and compared the absolute error with the variational iterative technique (VIM) and homotopy perturbation transform method (HPTM). (C) 2018 Elsevier Inc. All rights reserved.