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Series Solutions of Three-Dimensional Magnetohydrodynamic Hybrid Nanofluid Flow and Heat Transfer [PDF]

Nanomaterials
Hybrid nanofluids have many real-world applications. Research has shown that mixed nanofluids facilitate heat transfer better than nanofluids with one type of nanoparticle. New applications for this type of material include microfluidics, dynamic sealing,
Xiangcheng You, Yanbin Wang
doaj   +2 more sources

On finite series solutions of conformable time-fractional Cahn-Allen equation

Nonlinear Engineering, 2020
The aim of this article is to derive new exact solutions of conformable time-fractional Cahn-Allen equation. We have achieved this aim by hyperbolic function and expa function methods with the aid of symbolic computation using Mathematica.
Zafar Asim, Rezazadeh Hadi, Ali Khalid K.   +2 more
doaj   +2 more sources

On the series solutions of integral equations in scattering

Comptes 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

Properties of the series solution for Painlevé I [PDF]

Journal of Nonlinear Mathematical Physics, 2021
17 pages, 1 figure.
Hone, A. N. W., Ragnisco, Orlando, Zullo, Federico   +2 more
openaire   +3 more sources

Lie Symmetry Analysis, Conservation Laws, Power Series Solutions, and Convergence Analysis of Time Fractional Generalized Drinfeld-Sokolov Systems

Symmetry, 2021
In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis.
S. Gülsen, Shaowen Yao, M. Inc.
semanticscholar   +1 more source

Series Solutions of High-Dimensional Fractional Differential Equations

Mathematics, 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

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

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

Frontiers 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, Islam Zari, Ilyas Khan, Tahir Saeed Khan, Asiful H. Seikh, El-Sayed M. Sherif, El-Sayed M. Sherif   +6 more
doaj   +1 more source

Generalized fractional power series solutions for fractional differential equations

Applied Mathematics Letters, 2020
The extension of fractional power series solutions for linear fractional differential equations with variable coefficients is considered. Generalized series expansions involving integer powers and fractional powers in the independent variable have ...
C. Angstmann, B. Henry
semanticscholar   +1 more source

Are Transformers Effective for Time Series Forecasting? [PDF]

AAAI Conference on Artificial Intelligence, 2022
Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.
Ailing Zeng, Mu-Hwa Chen, L. Zhang, Qiang Xu   +3 more
semanticscholar   +1 more source