A Time Dependent Parabolic Initial Boundary Value Delay Problem

Oscillation criteria for impulsive parabolic boundary value problem with delay

10 In this work, we study the criteria of oscillatory solutions to impulsive parabolic 11 boundary value problem with delay. First, we consider two types of boundary condition 12 which resolve in oscillatory solutions in the impulsive problem with delay, then we 13 further reduce the oscillation criteria for the problem. 14 2003 Published by Elsevier Science Inc. 15

Degenerate Parabolic Initial-Boundary Value Problems*

in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h. We are concerned with the case where the solution is given by an analytic semigroup; it is this sense in which the Canchy p...

Initial - Boundary Value Problems for Parabolic Equations

Parallel algorithm for spatially one-and two-dimensional initial-boundary-value problem for a parabolic equation

The importance of the boundary-value problems (BVP) for engineering applications attracts and motivates continuous development of fast numerical algorithms for its solution. A number of various approaches have been suggested, such as finite elements methods, fast Fourier transform methods, multigrids methods and difference methods (e.g. [1, 2, 3, 5, 6, 7, 8, 10]), etc. Some theoretical aspects ...

Semidiscrete-Least Squares Methods for a Parabolic Boundary Value Problem

In this paper some approximate methods for solving the initial-boundary value problem for the heat equation in a cylinder under homogeneous boundary conditions are analyzed. The methods consist in discretizing with respect to time and solving approximately the resulting elliptic problem for fixed time by least squares methods. The approximate solutions will belong to a finite-dimensional subspa...