Identification of Microstructured Materials by Phase and Group Velocities
Journal Title: Mathematical Modelling and Analysis - Year 2009, Vol 14, Issue 1
Abstract
An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical tests are presented.
Authors and Affiliations
J. Janno
Construction of Chaotic Dynamical System
The first-order difference equation x[i][sub]n[/sub][/i][sub]+1[/sub] = [i]f [/i](x[i][sub]n[/sub][/i]),[i] n[/i] = 0, 1, . . ., where [i]f[/i] : R → R, is referred as an one-dimensional discrete dynamical system. If fun...
Positive Solutions Bifurcating from Zero Solution in a Predator-Prey Reaction–Diffusion System
An elliptic system subject to the homogeneous Dirichlet boundary con- dition denoting the steady-state system of a two-species predator-prey reaction– diffusion system with the modified Leslie–Gower and Holling-type II s...
Impact of Factor Rotation Methods on Simulation Composite Indicators
In this research one hypothesis about mathematical measure, which can be used as an additional tool for analysis and assessment Lithuania's economy tendencies, is verified. This additional measure has been constructed as...
On Fully Discrete Collocation Methods for Solving Weakly Singular Integro-Differential Equations
In order to find approximate solutions of Volterra and Fredholm integrodifferential equations by collocation methods it is necessary to compute certain integrals that determine the required algebraic systems. Those integ...
Finite Difference Scheme for a Singularly Perturbed Parabolic Equations in the Presence of Initial and Boundary Layers
The grid approximation of an initial-boundary value problem is considered for a singularly perturbed parabolic reaction-diffusion equation. The second-order spatial derivative and the temporal derivative in the different...