Results 21 to 30 of about 33,254 (236)

Numerical solution of two-dimensional fractional differential equations using Laplace transform with residual power series method

Nonlinear Engineering
One of the efficient and reliable methods for resolving fractional order linear as well as non-linear differential equations is the Laplace transform with residual power series method. This approach is used in the current research to obtain the numerical
Pant Rajendra, Arora Geeta, Singh Brajesh Kumar, Emadifar Homan   +3 more
doaj   +2 more sources

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

Laplace Residual Power Series Method for Solving Three-Dimensional Fractional Helmholtz Equations

Symmetry, 2023
In the present study, the exact solutions of the fractional three-dimensional (3D) Helmholtz equation (FHE) are obtained using the Laplace residual power series method (LRPSM). The fractional derivative is calculated using the Caputo operator. First, we introduce a novel method that combines the Laplace transform tool and the residual power series ...
Wedad Albalawi, Rasool Shah, Kamsing Nonlaopon, Lamiaa S. El-Sherif, Samir A. El-Tantawy   +4 more
openaire   +1 more source

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

Symmetry, 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 and the residual power series technique, we achieve analytic and approximation results in rapid ...
Aisha Abdullah Alderremy, Rasool Shah, Naveed Iqbal, Shaban Aly, Kamsing Nonlaopon   +4 more
openaire   +1 more source

Machine-learning nonstationary noise out of gravitational-wave detectors [PDF]

, 2020
Signal extraction out of background noise is a common challenge in high-precision physics experiments, where the measurement output is often a continuous data stream.
Driggers, J. C., Huang, Y., Isi, M., Kissel, J. S., Szczepańczyk, M. J., Vajente, G., Vitale, S.   +6 more
core   +1 more source

A hybrid analytical technique for solving multi-dimensional time-fractional Navier-Stokes system

AIMS Mathematics, 2023
In this research, a hybrid method, enbd the Laplace Residual Power Series technique, is adapted to find series solutions to a time-fractional model of Navier-Stokes equations in the sense of Caputo derivative.
Emad Salah, Ahmad Qazza, Rania Saadeh, Ahmad El-Ajou   +3 more
doaj   +1 more source

On the Analytical Solution of Fractional SIR Epidemic Model

Applied Computational Intelligence and Soft Computing, 2023
This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations,
Ahmad Qazza, Rania Saadeh
doaj   +1 more source

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

Frontiers in Physics, 2023
This article circumvents the Laplace transform to provide an analytical solution in a power series form for singular, non-singular, linear, and non-linear ordinary differential equations.
Ahmad El-Ajou, Haneen Al-ghananeem, Rania Saadeh, Ahmad Qazza, Moa’ath N. Oqielat   +4 more
doaj   +1 more source

Stretched exponential relaxation and ac universality in disordered dielectrics [PDF]

, 2007
This paper is concerned with the connection between the properties of dielectric relaxation and ac (alternating-current) conduction in disordered dielectrics.
Milovanov, Alexander V., Rasmussen, Jens Juul, Rypdal, Kristoffer   +2 more
core   +3 more sources