Results 41 to 50 of about 16,499 (156)

Mixed problem for a third order parabolic-hyperbolic model equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

The quasilinear parabolic kirchhoff equation

open access: yesOpen Mathematics, 2017
In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
doaj   +1 more source

On the time-dependent parabolic wave equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
One approach to the study of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave equation. Here we consider wave propagation in a restricted domain modelled by a parabolic wave equation whose ...
Arthur D. Gorman
doaj   +1 more source

Boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter

open access: yesElectronic Journal of Differential Equations, 2018
Using the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form.
Tynysbek Sh. Kal'menov   +2 more
doaj  

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

open access: yesDiscrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev   +1 more
doaj   +1 more source

Analysis of radio propagation over rough sea surface with parabolic equation

open access: yesTongxin xuebao, 2009
An improved impedance boundary method was presented and the initial field was calculated by Green function,which improved the stability and accurateness of the parabolic equation(PE).Eventually,the forecast of propagation over rough sea surface had been ...
GUO Jian-yan1   +2 more
doaj   +2 more sources

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