Results 311 to 320 of about 905,221 (366)

Ordinary Differential Equations

2016
The ordinary differential equations (ODE ’s in short), or simply differential equations (DE ), are the equations of the type $$\displaystyle{F\left (x,y,y^{{\prime}},y^{{\prime\prime}},\ldots,y^{(n)}\right ) = 0,}$$ relating the variable x, a function y(x) of x, and its derivatives \(\frac{\text{d}y} {\text{d}x} = y^{{\prime}}\), \(\frac{\text{d}
Thomas Zeugmann, Werner Römisch
openaire   +4 more sources

Meromorphic solutions of an auxiliary ordinary differential equation using complex method

, 2013
In this paper, we employ the complex method to obtain first all meromorphic solutions of an auxiliary ordinary differential equation and then find all meromorphic exact solutions of the classical Korteweg–de Vries equation, Boussinesq equation, ( 3 + 1 ...
W. Yuan, Ye-Zhou Li, Jianming Lin
semanticscholar   +1 more source

Large ordinary differential equation systems and software

IEEE Control Systems, 1982
Over the last decade, the need to solve large stiff and nonstiff ordinary differential equation systems (initial value problems) has led to considerable software, mostly based on the methods of Adams (nonstiff case) and Gear (stiff case).
Alan, Hindmarsh, Lawrence Livermore
semanticscholar   +1 more source

Initial-value problem for a linear ordinary differential equation of noninteger order

, 2011
An initial-value problem for a linear ordinary differential equation of noninteger order with Riemann-Liouville derivatives is stated and solved. The initial conditions of the problem ensure that (by contrast with the Cauchy problem) it is uniquely ...
A. Pskhu
semanticscholar   +1 more source

Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2009
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
Frank Marten, S. Rodrigues, P. Suffczynski, M. Richardson, John R. Terry   +4 more
semanticscholar   +1 more source

Ordinary Differential Equations

1994
Dynamical systems are often expressed in terms of ordinary differential equations. An example are the canonical equations of motion in Hamiltonian systems $${\dot p_i} = - \frac{{\partial H}}{{\partial {q_i}}},\;{\dot p_i} = \frac{{\partial H}}{{\partial {q_i}}},$$ (12.1) where the time derivatives of the canonical coordinates and momenta are
H.-J. Jodl, H. J. Korsch
openaire   +4 more sources

Efficient algorithms for ordinary differential equation model identification of biological systems.

IET Systems Biology, 2007
Algorithms for parameter estimation and model selection that identify both the structure and the parameters of an ordinary differential equation model from experimental data are presented.
P. Gennemark, Dag Wedelin
semanticscholar   +1 more source

Explicit Ordinary Differential Equations [PDF]

, 1998
In the last chapter we discussed the numerical treatment of explicit ordinary differential equations. Here, we will consider the more general case, implicit ordinary differential equations.
Edda Eich-Soellner, Claus Führer
openaire   +2 more sources

Ordinary differential equations

2010
A differential equation is an equation involving one or more derivatives of an unknown function. If all derivatives are taken with respect to a single independent variable we call it an ordinary differential equation, whereas we have a partial differential equation when partial derivatives are present.
Fausto Saleri, Alfio Quarteroni, Alfio Quarteroni, Paola Gervasio   +3 more
openaire   +2 more sources

A coupled ordinary differential equation lattice model for the simulation of epileptic seizures.

Chaos, 1999
A coupled ordinary differential equation lattice model for the CA3 region of the hippocampus (a common location of the epileptic focus) is developed. This model consists of a hexagonal lattice of nodes, each describing a subnetwork consisting of a group ...
R. Larter, B. Speelman, R. Worth
semanticscholar   +1 more source