Results 1 to 10 of about 26,174 (100)

A fast quantum algorithm for solving partial differential equations [PDF]

Scientific Reports
The numerical solution of partial differential equations (PDEs) is essential in computational physics. Over the past few decades, various quantum-based methods have been developed to formulate and solve PDEs.
Azim Farghadan, Mohammad Mahdi Masteri Farahani, Mohsen Akbari   +2 more
doaj   +2 more sources

Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES

Comptes Rendus. Mathématique, 2021
The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $\mathbb{C}^n$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes.
Lü, Feng
doaj   +1 more source

Determinism, well-posedness, and applications of the ultrahyperbolic wave equation in spacekime

Partial Differential Equations in Applied Mathematics, 2022
Spatiotemporal dynamics of many natural processes, such as elasticity, heat propagation, sound waves, and fluid flows are often modeled using partial differential equations (PDEs).
Yuxin Wang, Yueyang Shen, Daxuan Deng, Ivo D. Dinov   +3 more
doaj   +1 more source

Variational iteration method along with intelligent computing system for the radiated flow of electrically conductive viscous fluid through porous medium

Heliyon, 2023
This article aims to investigate the analytical nature and approximate solution of the radiated flow of electrically conductive viscous fluid into a porous medium with slip effects (RFECVF).
Muhammad Shoaib, Farooq Ahmed Shah, Kottakkaran Sooppy Nisar, Muhammad Asif Zahoor Raja, Ehsan ul Haq, Aqsa Zafar Abbasi, Qazi Mahmood Ul Hassan, Nuha Al-Harbi, Abdel-Haleem Abdel-Aty   +8 more
doaj   +1 more source

Transcendental entire solutions of several complex product-type nonlinear partial differential equations in ℂ2

Open Mathematics, 2023
Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui, Li Yan Fang, Liu Xiao Lan, Xu Hong Yan   +3 more
doaj   +1 more source

Exact solutions of linear reaction-diffusion processes on a uniformly growing domain: criteria for successful colonization. [PDF]

PLoS ONE, 2015
Many processes during embryonic development involve transport and reaction of molecules, or transport and proliferation of cells, within growing tissues.
Matthew J Simpson
doaj   +1 more source

Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations

Machine Learning and Knowledge Extraction, 2020
This article presents a new methodology called Deep Theory of Functional Connections (TFC) that estimates the solutions of partial differential equations (PDEs) by combining neural networks with the TFC.
Carl Leake, Daniele Mortari
doaj   +1 more source

Mixed convective and radiative wavy motion of Williamson fluid in the presence of microorganisms

Journal of Radiation Research and Applied Sciences
Living microorganisms' existence is a common feature of Newtonian and non-Newtonian radiative materials. The more complex nature of such materials is rigorously determined by including nano-size particles.
Atta Ur Rahman, Latif Ahmad
doaj   +1 more source

A multi-layer neural network-based evaluation of MHD radiative heat transfer in Eyring–Powell fluid model

Heliyon
In the modern era, artificial intelligence (AI) has been applied as one of the transformative factors for scientific research in many fields that could provide new solutions to extremely complicated and complex physical models.
Muflih Alhazmi, Zahoor Shah, Muhammad Asif Zahoor Raja, Nafisa A. Albasheir, Maryam Jawaid   +4 more
doaj   +1 more source

Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]

Sci Rep
Long J, Khaliq A, Furati KM.
europepmc   +1 more source