Results 21 to 30 of about 87,914,593 (210)

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

Novel Computations of the Time-Fractional Fisher’s Model via Generalized Fractional Integral Operators by Means of the Elzaki Transform

Fractal and Fractional, 2021
The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model.
Saima Rashid, Zakia Hammouch, Hassen Aydi, Abdulaziz Garba Ahmad, Abdullah M. Alsharif   +4 more
doaj   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +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

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

Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions [PDF]

, 2009
A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible fluid flow in (3+1) dimensions. We focus on those types of solutions which
Huard, Benoit, Conte, Robert, Grundland, A. Michel   +2 more
core   +1 more source

Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM

International Journal of Mathematics and Mathematical Sciences, 2019
In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs.
Abir Chaouk, Maher Jneid
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

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source