Results 31 to 40 of about 1,441,473 (315)
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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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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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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Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
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On a complex differential Riccati equation [PDF]
, 2007 We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S +28 more
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Approximate controllability of fractional partial differential equation
Advances in Differential Equations, 2015 In the present paper, by using the theory of semigroup operators and the Schauder fixed point theorem, we define the mild solution of a fractional partial differential equation and obtain the existence and uniqueness of the mild solution.
Fang Wang, Ping Wang, Z. Yao
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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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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina +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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