[PDF][PDF] A review of the integral transforms-based decomposition methods and their applications in solving nonlinear PDEs

RI Nuruddeen, L Muhammad, AM Nass… - Palestine Journal of …, 2018 - researchgate.net
The integral transform based decomposition method comprises of coupling a particular
integral transform de ned in a time domain and the well-known Adomian decomposition …

[HTML][HTML] New exact solitary wave solutions for the extended (3+ 1)-dimensional Jimbo-Miwa equations

KK Ali, RI Nuruddeen, AR Hadhoud - Results in Physics, 2018 - Elsevier
In this manuscript, new solitary wave solutions for the newly introduced extended (3+ 1)-
dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented …

Approximate and Exact Solutions to Fractional Order Cauchy Reaction‐Diffusion Equations by New Combine Techniques

A Khan, MI Liaqat, M Younis, A Alam - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we present a simple and efficient novel semianalytic method to acquire
approximate and exact solutions for the fractional order Cauchy reaction‐diffusion equations …

[PDF][PDF] Elzaki decomposition method and its applications in solving linear and nonlinear Schrodinger equations

RI Nuruddeen - Sohag Journal of Mathematics, 2017 - researchgate.net
In this paper, the Elzaki transform and Adomian decomposition method are coupled and
used to determine the analytical solution of both linear and nonlinear Schrodinger …

[PDF][PDF] Solution of partial integro-differential equations by using Aboodh and double Aboodh transforms methods

KS Aboodh, RA Farah, IA Almardy… - Global Journal of Pure …, 2016 - researchgate.net
Partial integro-differential equations (PIDE) occur in several fields of sciences and
mathematics. The main purpose of this paper to study how to solve partial integro-differential …

[PDF][PDF] A reliable iterative transform method for solving an epidemic model

RW Huisen, SH Abd Almjeed, AS Mohammed - Iraqi Journal of Science, 2021 - iasj.net
The main purpose of the work is to apply a new method, so-called LTAM, which couples the
Tamimi and Ansari iterative method (TAM) with the Laplace transform (LT). This method …

[PDF][PDF] Exact solutions of wave-type equations by the Aboodh decomposition method

RI Nuruddeen, AM Nass - Stochastic Modelling and Applications, 2017 - researchgate.net
This paper deals with the derivation of exact solutions of linear and nonlinear wave-type
equations by employing the Aboodh transform coupled to the Adomian decomposition …

[PDF][PDF] New integral transform: fundamental properties, investigations and applications

MKU Dattu - IAETSD Journal for Advanced Research in Applied …, 2018 - academia.edu
New Integral Transform: Fundamental Properties, Investigations and Applications Page 1 New
Integral Transform: Fundamental Properties, Investigations and Applications Mr. Kharde Uttam …

Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method

RI Nuruddeen, FD Zaman… - Malaya Journal of …, 2019 - malayajournal.org
With the current raised issues on the new conformable fractional derivative having satisfied
the Leibniz rule for derivatives which was proved not to be so for a differential operator to be …

Variational iteration method combined with new transform to solve fractional partial differential equations

MH Cherif, D Ziane - Universal Journal of Mathematics and …, 2018 - dergipark.org.tr
The aim of this paper is to combined the variational iteration method with Aboodh transform
method to solve linear and nonlinear fractional partial differential equations. Some …