Results 21 to 30 of about 19,135,387 (233)

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

Modelling of multiple impacts for the prediction of distortions and residual stresses induced by ultrasonic shot peening (USP) [PDF]

, 2012
During a manufacturing process, the ultrasonic shot peening (USP) technique can be used as the final surface treatment. The aim of this operation is to introduce surface compressive residual stresses in order to prevent crack propagation advancement ...
Taheri, Sahid, TAHERI, Said, ROBIN, Vincent, Jun, Li, DOUCHET, Gérard, Gilles, Phillipe, NELIAS, Daniel, LI, Jun, GILLES, Philippe, KUBLER, Regis, CHAISE, Thibaut   +10 more
core   +1 more source

Methods of measuring residual stresses in components [PDF]

, 2012
Residual stresses occur in many manufactured structures and components. Large number of investigations have been carried out to study this phenomenon and its effect on the mechanical characteristics of these components.
Olabi, Abdul-Ghani, M. Dassisti, Rossini, Nicola, Rossini, N. S., Benyounis, K. Y., A.G. Olabi, Dassisti, Michele, K.Y. Benyounis, Benyounis, Khaled, Olabi, A. G., N.S. Rossini   +10 more
core   +2 more sources

Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations

Complexity, 2019
In this study, an applicable and effective method, which is based on a least-squares residual power series method (LSRPSM), is proposed to solve the time-fractional differential equations.
Jianke Zhang, Zhirou Wei, Lifeng Li, Chang Zhou   +3 more
doaj   +1 more source

An inverse method for evaluating weld residual stresses via fatigue crack growth test data [PDF]

, 2010
This paper presents an inverse method for calculating the thermal residual stresses in welded specimens via measured fatigue crack growth rates. Firstly, fracture-mechanics superposition law has been used to extract the stress intensity factor due to ...
Rui Bao, Xiang Zhang, Bao, Rui, Zhang, Xiang   +3 more
core   +1 more source

Investigation of numerical solutions of fractional generalized regul long wave equations by least squares-residual power series method

, 2021
The least squares-residual power series method and the residual power series method are two effective methods used to investigate approximate solutions of fractional equations.
Khalil, Eied Mahmoud, Körpınar, Zeliha, Khalil, Eied M., İnç, Mustafa   +3 more
core   +1 more source

Solution of Fractional SIR Epidemic Model Using Residual Power Series Method [PDF]

, 2019
The SIR model with unknown parameters is an important issue for scientists in the study of epidemiology and medical care for the injured people. In this work, an efficient technique based on the generalized Taylor series, called the residual power series
Freihet, Asad, Al-Smadi, Mohammed, Hasan, Shatha, Al-Zoubi, Ayat, Momani, Shaher   +4 more
core   +1 more source

Fractional Series Solution Construction for Nonlinear Fractional Reaction-Diffusion Brusselator Model Utilizing Laplace Residual Power Series

, 2022
This article investigates different nonlinear systems of fractional partial differential equations analytically using an attractive modified method known as the Laplace residual power series technique. Based on a combination of the Laplace transformation
Kamsing Nonlaopon, Shaban Aly, Rasool Shah, Naveed Iqbal, Aisha Abdullah Alderremy   +4 more
core   +1 more source