Results 61 to 70 of about 4,525,221 (172)

Accurate Approximations for a Nonlinear SIR System via an Efficient Analytical Approach: Comparative Analysis

Axioms
The homotopy perturbation method (HPM) is one of the recent fundamental methods for solving differential equations. However, checking the accuracy of this method has been ignored by some authors in the literature.
Mona Aljoufi
doaj   +1 more source

Analytical and Numerical Investigation for the Inhomogeneous Pantograph Equation

Axioms
This paper investigates the inhomogeneous version of the pantograph equation. The current model includes the exponential function as the inhomogeneous part of the pantograph equation.
Faten Aldosari, Abdelhalim Ebaid
doaj   +1 more source

Computing N-dimensional polytrope via power series

Open Astronomy
Polytropic equations (Lane–Emden [LE] equations) are valuable because they offer a simple explanation for a star’s interior structure, interstellar matter, molecular clouds, and even spiral arms that can be calculated and used to estimate various ...
Nouh Mohamed I., Taha Mahmoud, Ibrahim Ahmed Ahmed, Abdel-Sabour Mohamed   +3 more
doaj   +1 more source

Power series solution for fractal differential equations

Bollettino dell'Unione Matematica Italiana
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Khalili Golmankhaneh, Donatella Bongiorno, Hajer Jebali, Palle E. T. Jørgensen   +3 more
openaire   +3 more sources

Analytic solutions of a class of nonlinear partial differential equations

Electronic Journal of Differential Equations, 2015
We study a class of nonlinear partial differential equations, which can be connected with wave-type equations and Laplace-type equations, by using a functional-analytic technique.
Eugenia N. Petropoulou
doaj  

Analytical Scheme for Time Fractional Kawahara and Modified Kawahara Problems in Shallow Water Waves

Fractal and Fractional
The Kawahara equation exhibits signal dispersion across lines of transmission and the production of unstable waves from the water in the broad wavelength area. This article explores the computational analysis for the approximate series of time fractional
Muhammad Nadeem, Asad Khan, Muhammad Awais Javeed, Zhong Yubin   +3 more
doaj   +1 more source

An Alternative Series Solution for Free Vibration Analysis of Asymmetric L-Shaped Membranes

Applied Sciences
This study revisits the freely vibrating problem of asymmetric L-shaped membranes using a three-segmented domain decomposition (3-SDD) strategy. Motivated by the need for more accurate and flexible methods, the 3-SDD strategy is compared with the ...
Kao-Hao Chang, Wen-Ten Kuo
doaj   +1 more source

Series solution of unsteady MHD oblique stagnation point flow of copper-water nanofluid flow towards Riga plate. [PDF]

Heliyon, 2020
Rizwana R, Hussain A, Nadeem S.
europepmc   +1 more source

An Efficient Series Solution for Fractional Differential Equations

Abstract and Applied Analysis, 2014
We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type. The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing ...
Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam   +2 more
doaj   +1 more source

Numerical solution for fractional Neumann series equations

Ain Shams Engineering Journal
This study focuses on fractional differential equations defined by the Neumann series operator. The inverse of the fractional integral operator (1−α)I0+αIα is associated with a MABC operator.
Dumitru Baleanu, Babak Shiri
doaj   +1 more source