Results 1 to 10 of about 763,518 (232)

Elzaki residual power series method to solve fractional diffusion equation. [PDF]

PLoS ONE
The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers.
Rajendra Pant, Geeta Arora, Homan Emadifar   +2 more
doaj   +3 more sources

ARA-residual power series method for solving partial fractional differential equations

Alexandria Engineering Journal, 2023
In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method.
Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Shaher Momani   +3 more
doaj   +3 more sources

Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method

Fractal and Fractional, 2023
In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method.
Ahmad Shafee, Yousuf Alkhezi, Rasool Shah   +2 more
doaj   +3 more sources

Analytical treatment of the fractional Zakharov–Kuznetsov equation via the generalized integral residual power series method [PDF]

Scientific Reports
This study presents a generalized integral residual power series method (GIRPSM) for finding semi-analytical solutions to the nonlinear fractional Zakharov–Kuznetsov equation (FZKE).
Samy A. Abdelhafeez, Anas A. M. Arafa, Yousef H. Zahran, Moutaz Ramadan, Ibrahim S. I. Osman   +4 more
doaj   +2 more sources

Residual Power Series Method for Solving Klein-Gordon Schrödinger Equation

Science Journal of University of Zakho, 2021
In this work, the   Residual Power Series Method(RPSM) is used to find the approximate solutions of Klein Gordon Schrödinger (KGS) Equation. Furthermore, to show the accuracy and the efficiency of the presented method, we compare the obtained approximate
Ssaad A. Manaa, Fadhil H. Easif, Jomaa J. Murad   +2 more
doaj   +1 more source

Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function

Alexandria Engineering Journal, 2022
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh, Aliaa Burqan, Ahmad El-Ajou   +2 more
doaj   +1 more source

A Reliable Way to Deal with Fractional-Order Equations That Describe the Unsteady Flow of a Polytropic Gas

Mathematics, 2022
In this paper, fractional-order system gas dynamics equations are solved analytically using an appealing novel method known as the Laplace residual power series technique, which is based on the coupling of the residual power series approach with the ...
M. Mossa Al-Sawalha, Ravi P. Agarwal, Rasool Shah, Osama Y. Ababneh, Wajaree Weera   +4 more
doaj   +1 more source

New travelling wave analytic and residual power series solutions of conformable Caudrey–Dodd–Gibbon–Sawada–Kotera equation

Results in Physics, 2021
In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and 4thorder residual power series method (RPSM).
Hira Tariq, Hijaz Ahmed, Hadi Rezazadeh, Shumaila Javeed, Khurram Saleem Alimgeer, Kamsing Nonlaopon, Jamel Baili, Khaled Mohamed Khedher   +7 more
doaj   +1 more source

Review on the prediction of residual stress in welded steel components [PDF]

, 2020
Residual stress after welding has negative effects on the service life of welded steel components or structures. This work reviews three most commonly used methods for predicting residual stress, namely, empirical, semi-empirical and process simulation ...
Abdel Wahab, Magd, Ni, Junyan, Zhuang, Xincun   +2 more
core   +1 more source

Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM)

Journal of Mathematics, 2023
The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n−1ϖ derivative of the residual function.
Muhammad Imran Liaqat, Eric Okyere
doaj   +1 more source