Results 11 to 20 of about 55,209 (306)

Index of an implicit differential equation [PDF]

open access: yesPublicacions Matemàtiques, 2010
In the first part of the article, the authors introduce the notion of an index of an implicit ordinary differential equation at an isolated singularity and show that equivalent germs of implicit differential equations possess identical indices. They provide explicit expressions for the case of binary differential equations of degree \(3\).
Challapa, L. S., Ruas, M. A. S.
openaire   +9 more sources

Nonuniqueness of implicit lattice Nagumo equation [PDF]

open access: yesApplications of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stehlík, Petr, Volek, Jonáš
openaire   +5 more sources

Implicit and iterative methods for the Boltzmann equation [PDF]

open access: yesTransport Theory and Statistical Physics, 1996
The paper presents some approximation methods for the Boltzmann equation. In the first part fully implicit discretization techniques for the spatially homogeneous Boltzmann equation are investigated. The implicit equation is solved using an iteration process.
Bobylev, A.V., Struckmeier, Jens
openaire   +3 more sources

Computing the Newton Polygon of the Implicit Equation [PDF]

open access: yesMathematics in Computer Science, 2010
We consider polynomially and rationally parameterized curves, where the polynomials in the parameterization have fixed supports and generic coefficients. We apply sparse (or toric) elimination theory in order to determine the vertex representation of its implicit polygon, i.e. of the implicit equation's Newton polygon.
Ioannis Z. Emiris   +2 more
openaire   +5 more sources

An Analysis of the Theta-Method for Pantograph-Type Delay Differential Equations

open access: yesComplexity, 2022
The pantograph equation arises in electrodynamics as a delay differential equation (DDE). In this article, we provide the ϑ-method for numerical solutions of pantograph equations. We investigate the stability conditions for the numerical schemes.
Fathalla A. Rihan, Ahmed F. Rihan
doaj   +1 more source

Numerical Results of Crank-Nicolson and Implicit Schemes to Laplace Equation with Uniform and Non-Uniform Grids

open access: yesInPrime, 2021
In this paper, we investigate the numerical results between Implicit and Crank-Nicolson method for Laplace equation. Based on the numerical results obtained, we get the conclusion that the absolute error of Crank-Nicolson method is smaller than the ...
Mohammad Ghani
doaj   +1 more source

Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space

open access: yesMathematics, 2018
Considering the Weierstrass data as ( ψ , f , g ) = ( 2 , 1 - z - m , z n ) , we introduce a two-parameter family of Henneberg-type minimal surface that we call H m , n for positive integers ( m , n ) by using the ...
Erhan Güler   +2 more
doaj   +1 more source

A Nonlinear Implicit Fractional Equation with Caputo Derivative

open access: yesJournal of Mathematics, 2021
In this paper, we study a nonlinear implicit differential equation with initial conditions. The considered problem involves the fractional Caputo derivatives under some conditions on the order.
Ameth Ndiaye
doaj   +1 more source

On the Multiplicity of Implicit Differential Equations

open access: yesJournal of Differential Equations, 1998
In this paper the study of the implicit differential equation (IDE) \[ F(x,y,dy/dx)=0 \] (where \(F\) is an analytic function in \((x,y))\) is motivated by some concrete problems concerning binary differential equations (BDE) of the form: \[ a(x,y)dy^2+2b(x,y)dxdy+c(x,y)dx^2=0.
Bruce, J.W., Tari, F.
openaire   +3 more sources

Implicit difference approximation for the two-dimensional space-time fractional diffusion equation [PDF]

open access: yes, 2006
In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed.
Liu, Fawang   +3 more
core   +1 more source

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