Results 31 to 40 of about 2,746 (252)

Computing singular solutions to partial differential equations by Taylor series [PDF]

, 2018
International audienceThe Taylor Meshless Method (TMM) is a true meshless integration-free numerical method for solving elliptic Partial Differential Equations (PDEs). The basic idea of this method is to use high-order polynomial shape functions that are
Jie Yang, Heng Hu, Michel Potier-Ferry, Potier-Ferry, Michel, Yang, Jie, Hu, Heng   +5 more
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu   +3 more
doaj   +1 more source

Non-classical symmetry and analytic self-similar solutions for a non-homogenous time-fractional vector NLS system

Advances in Difference Equations, 2021
The complex PDEs are a very important and interesting task in nonlinear quantum science. Although there have been extensive studies on the classical complex models, solving the fractional complex models still has a lot of shortcomings, especially for the
Ruichao Ren, Shunli Zhang
doaj   +1 more source

On quantum and relativistic mechanical analogues in mean field spin models [PDF]

, 2014
Conceptual analogies among statistical mechanics and classical or quantum mechanics often appeared in the literature. For classical two-body mean field models, such an analogy is based on the identification between the free energy of Curie-Weiss type ...
Guerra, F., Moro, Antonio, Di Lorenzo, Andrea, Adriano Barra, Francesco Guerra, Di Lorenzo, A., Barra, Adriano, Guerra, Francesco, Antonio Moro, Moro, A., Andrea Di Lorenzo   +10 more
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Optimized technique and dynamical behaviors of fractional Lax and Caudrey–Dodd–Gibbon models modelized by the Caputo fractional derivative

Partial Differential Equations in Applied Mathematics
The presented paper aims to investigate, examine, and analyze the nonlinear time-fractional evolution partial differential equations (TFNE-PDEs) in the sense of Caputo essential in numerous nonlinear wave propagation phenomena.
Tareq Eriqat, Moa’ath N. Oqielat, Rania Saadeh, Ahmad El-Ajou, Ahmad Qazza, Mohammed Abu Saleem   +5 more
doaj   +1 more source

RBF-Assisted Hybrid Neural Network for Solving Partial Differential Equations

Mathematics
In scientific computing, neural networks have been widely used to solve partial differential equations (PDEs). In this paper, we propose a novel RBF-assisted hybrid neural network for approximating solutions to PDEs.
Ying Li, Wei Gao, Shihui Ying
doaj   +1 more source

Approximate and Exact Solutions to Fractional Order Cauchy Reaction-Diffusion Equations by New Combine Techniques

Journal of Mathematics, 2021
In this paper, we present a simple and efficient novel semianalytic method to acquire approximate and exact solutions for the fractional order Cauchy reaction-diffusion equations (CRDEs). The fractional order derivative operator is measured in the Caputo
Adnan Khan, Muhammad Imran Liaqat, Muhammad Younis, Ashraful Alam   +3 more
doaj   +1 more source

Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs

Ain Shams Engineering Journal, 2015
This article contributes a numerical scheme for finding approximate solutions of one-dimensional parabolic partial differential equations (PDEs) under non-classical boundary conditions. This scheme is based on the direct Chebyshev collocation method that
Emran Tohidi
doaj   +1 more source

A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay

Journal of Function Spaces, 2022
Some researchers have combined two powerful techniques to establish a new method for solving fractional-order differential equations. In this study, we used a new combined technique, known as the Elzaki residual power series method (ERPSM), to offer ...
Muhammad Imran Liaqat, Adnan Khan, Ali Akgül, Md. Shajib Ali   +3 more
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Hybrid Nanofluid Flow over a Permeable Shrinking Sheet Embedded in a Porous Medium with Radiation and Slip Impacts

Mathematics, 2021
The study of hybrid nanofluid and its thermophysical properties is emerging since the early of 2000s and the purpose of this paper is to investigate the flow of hybrid nanofluid over a permeable Darcy porous medium with slip, radiation and shrinking ...
Shahirah Abu Bakar, Norihan Md Arifin, Najiyah Safwa Khashi’ie, Norfifah Bachok   +3 more
doaj   +1 more source