Results 1 to 10 of about 88,452 (260)

Properties of the series solution for Painlevé I [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
17 pages, 1 figure.
Hone, A. N. W.   +2 more
openaire   +5 more sources

On the series solutions of integral equations in scattering

open access: yesComptes Rendus. Mathématique
We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems.
Triki, Faouzi, Karamehmedović, Mirza
doaj   +4 more sources

Series Solutions of High-Dimensional Fractional Differential Equations

open access: yesMathematics, 2021
In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods.
Jing Chang, Jin Zhang, Ming Cai
doaj   +1 more source

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

open access: yesFrontiers 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   +4 more
doaj   +1 more source

Marangoni Driven Boundary Layer Flow of Carbon Nanotubes Toward a Riga Plate

open access: yesFrontiers in Physics, 2020
The objective of this article is to explore radiative Marangoni boundary layer flow of carbon nanotubes along a surface that is an electromagnetic actuator, such as a Riga surface.
Anum Shafiq   +6 more
doaj   +1 more source

The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection

open access: yesAdvances in Mathematical Physics, 2023
This paper provides a mathematical fractional-order model that accounts for the mindset of patients in the transmission of COVID-19 disease, the continuous inflow of foreigners into the country, immunization of population subjects, and temporary loss of ...
Benedict Barnes   +4 more
doaj   +1 more source

Computational Study for Fiber Bragg Gratings with Dispersive Reflectivity Using Fractional Derivative

open access: yesFractal and Fractional, 2023
In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq   +4 more
doaj   +1 more source

Residual power series algorithm for fractional cancer tumor models

open access: yesAlexandria Engineering Journal, 2020
In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar   +3 more
doaj   +1 more source

Exact Solutions for the KMM System in (2+1)-Dimensions and Its Fractional Form with Beta-Derivative

open access: yesFractal and Fractional, 2022
Fractional calculus is useful in studying physical phenomena with memory effects. In this paper, the fractional KMM (FKMM) system with beta-derivative in (2+1)-dimensions was studied for the first time.
Lihua Zhang   +4 more
doaj   +1 more source

On comparison of approximate solutions for linear and nonlinear schrodinger equations

open access: yesActa Scientiarum: Technology, 2019
In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions.
Zeliha Korpinar
doaj   +1 more source

Home - About - Disclaimer - Privacy