Results 21 to 30 of about 760,515 (274)

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

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   +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

Residual power series method for solving nonlinear reaction-diffusion-convection problems

Boletim da Sociedade Paranaense de Matemática, 2021
In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.
M. S. Khader, Mahmoud H. DarAssi
openaire   +4 more sources

Residual power series method for time-fractional Schrödinger equations

Journal of Nonlinear Sciences and Applications, 2016
Summary: In this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrödinger equations. The competency of the method is examined by applying it to the several numerical examples.
Zhang, Yu, Kumar, Amit, Kumar, Sunil, Baleanu, Dumitru, Yang, Xiao-Jun   +4 more
openaire   +2 more sources

Evaluation of biases present in the cohort multiple randomised controlled trial design: a simulation study [PDF]

, 2017
Background The cohort multiple randomised controlled trial (cmRCT) design provides an opportunity to incorporate the benefits of randomisation within clinical practice; thus reducing costs, integrating electronic healthcare records, and improving ...
A Burton, A Cobos-Carbó, AJ Vickers, Alexander Pate, C Relton, CE Hewitt, DJ Torgerson, Institue of Medicine, J Wu, Jane Candlish, JB Sussman, JPM Burbach, JV Terza, L Kwakkenbos, Matthew Sperrin, MS Ali, N Nagelkerke, T-P Staa van, T-P Staa Van, Tjeerd van Staa, WS Weintraub   +20 more
core   +4 more sources

Optimizing option pricing: Exact and approximate solutions for the time-fractional Ivancevic model

Alexandria Engineering Journal, 2023
This research investigates the time fractional Ivancevic option pricing model and presents two distinct solution methods: the invariant subspace method for obtaining exact solutions and the residual power series method for generating approximate ...
Khalid K. Ali, M.A. Maaty, M. Maneea
doaj   +1 more source

Advances on creep–fatigue damage assessment in notched components [PDF]

, 2017
In this paper, the extended Direct Steady Cyclic Analysis method (eDSCA) within the Linear Matching Method Framework (LMMF) is combined with the Stress Modified Ductility Exhaustion method and the modified Cavity Growth Factor (CGF) for the first time ...
Barbera, D., Chen, H., Liu, Y.
core   +2 more sources