Results 21 to 30 of about 1,497,624 (355)
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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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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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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Q-measure-valued solution of a hyperbolic partial differential equation
Partial Differential Equations in Applied Mathematics, 2022 In this article, we introduced a new measure termed as Q-measure to represent a weak* limit of the barycenter of a sequence of Borel measurable function. The Q-measure is defined by replacing the sequence of measurable functions via the barycenter of the
Jisha C.R.
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Data-driven discovery of partial differential equations [PDF]
Science Advances, 2016 Researchers propose sparse regression for identifying governing partial differential equations for spatiotemporal systems. We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by ...
S. Rudy, S. Brunton, J. Proctor, J. Kutz
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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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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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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 2003 Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
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Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines
Cumhuriyet Science Journal, 2022 This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı +2 more
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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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