Results 61 to 70 of about 428,778 (188)

Symmetry Analysis On [PDF]

open access: yes, 2006
Equationis a delay partial differential equation with an arbitrary functional G. Group analysis method is applied to find symmetries of the equation and to make group classification.
Tanthanuch, J. (Jessada)
core  

Partial difference equations arising from the Cauchy-Riemann equations

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006
We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
doaj  

Reduction of Linear Functional Systems using Fuhrmann's Equivalence

open access: yesSultan Qaboos University Journal for Science, 2016
Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
doaj   +1 more source

Spline Technique for Second Type of Fredholm Integral Equations

open access: yesJournal of Kufa for Mathematics and Computer, 2020
Integral equation plays very important tools in a developed science like numerous troubles in an engineering and mechanical sciences . a cubic spline method renowned to begin with one powerful role to solve many functional equations like integral ...
Ahmed Jaber, Adil Alrammahi
doaj   +1 more source

Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method [PDF]

open access: yes, 2004
We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive ...
Gavaghan, D. J.   +2 more
core   +1 more source

Sobolev gradients and image interpolation

open access: yes, 2012
We present here a new image inpainting algorithm based on the Sobolev gradient method in conjunction with the Navier-Stokes model. The original model of Bertalmio et al is reformulated as a variational principle based on the minimization of a well chosen
Danaila, Ionut, Kazemi, Parimah
core   +1 more source

Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion

open access: yesAbstract and Applied Analysis, 2014
We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under various growth and compactness ...
Mark A. McKibben, Micah Webster
doaj   +1 more source

Minimizers for nonlocal perimeters of Minkowski type

open access: yes, 2018
We study a nonlocal perimeter functional inspired by the Minkowski content, whose main feature is that it interpolates between the classical perimeter and the volume functional.
Cesaroni, Annalisa   +3 more
core   +1 more source

A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise

open access: yesAdvances in Difference Equations, 2018
In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, 2010), we develop a white noise frame for anisotropic ...
Xuebin Lü, Wanyang Dai
doaj   +1 more source

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

open access: yesMachine 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

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