Results 11 to 20 of about 175 (58)
FDM for fractional parabolic equations with the Neumann condition
Advances in Differential Equations, 2013 In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented.
A. Ashyralyev, Zafer Cakir
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Existence for Korteweg-de Vries-type equation with delay
Advances in Differential Equations, 2012 The existence and uniqueness of the Korteweg-de Vries type equation with time delay are investigated. The problem is formulated as an abstract quasi-linear function differential equation.
Zhihong Zhao, Erhua Rong, Xiangkui Zhao
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Advances in Differential Equations, 2013 In this work, we introduce a linear finite-difference methodology to approximate non-negative and bounded solutions of a coupled system of nonlinear parabolic partial differential equations that describes the growth of two different microbial colonies on
J. Macías-Díaz
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Non-commutative rational Yang-Baxter maps [PDF]
, 2013 Starting from multidimensional consistency of non-commutative lattice modified Gel'fand-Dikii systems we present the corresponding solutions of the functional (set-theoretic) Yang-Baxter equation, which are non-commutative versions of the maps arising ...
Doliwa, Adam
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A discrete linearizability test based on multiscale analysis [PDF]
, 2010 In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
Agrotis M +22 more
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Two-Dimensional Toda-Heisenberg Lattice [PDF]
, 2013 We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which ...
Vekslerchik, Vadim E.
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On the construction of partial difference schemes II: discrete variables and Schwarzian lattices [PDF]
, 2016 In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing an arbitrary partial differential equation on an arbitrary lattice.
Levi, Decio, Rodriguez, Miguel A.
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Symmetries of the Hirota Difference Equation [PDF]
, 2017 Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation is presented.
Pogrebkov, Andrei K.
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Multiple solutions for a class of oscillatory discrete problems
Advances in Nonlinear Analysis, 2015 In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
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Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations [PDF]
, 2011 In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations.
Levi, Decio, Scimiterna, Christian
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