Results 11 to 20 of about 111,104 (316)
Solving Partial Differential Equations Using Deep Learning and Physical Constraints
Applied Sciences, 2020 The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo +3 more
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Advances in Mathematical Physics, 2021 This article comprehensively and systematically expounds the development trends and basic theory of partial differential methods, analyzes the characteristics of sampling multiscale transformation in detail, and deeply studies the network image denoising
Yang Zhang
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Weak SINDy for partial differential equations [PDF]
Journal of Computational Physics, 2021 Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system discovery that has been shown to successfully recover governing dynamical systems from data (Brunton et al., PNAS, '16; Rudy et al., Sci. Adv. '17). Recently, several groups have independently discovered that the weak formulation provides orders of magnitude better robustness to ...
Daniel A. Messenger, David M. Bortz
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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Arithmetic partial differential equations, I
Advances in Mathematics, 2010 Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
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Particles to partial differential equations parsimoniously [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g., in the form of partial differential equations (PDEs), that can explain the system evolution at much coarser, meso-, or macroscopic length scales.
Hassan Arbabi, Ioannis G. Kevrekidis
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Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis
Journal of Applied Mathematics, 2013 The migration of melt through the mantle of the Earth is governed by a third-order nonlinear partial differential equation for the voidage or volume fraction of melt.
N. Mindu, D. P. Mason
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Image Quality Enhancement Model and its Application Based on PDE
Chemical Engineering Transactions, 2015 Partial differential equations application in digital image processing is developing rapidly in recent years. The method aim to establish a mathematical model with the partial differential equation, and the model will change the image based on partial ...
F. Yuan, Z.P. Wang
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application
Journal of Function Spaces, 2020 The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
Xiao-Feng Yang, Yi Wei
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Solution of fractional modified Kawahara equation: a semi-analytic approach
Mathematics in Applied Sciences and Engineering, 2023 The present study examines a semi-analytical method known as the Fractional Residual Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and modified Kawahara equations.
Sagar Khirsariya +2 more
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