Initial-boundary value problem for parabolic equation in $L^1$

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 ...

Positive Solution for Boundary Value Problem of Fractional Dierential Equation

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.

Positive solution for boundary value problem of fractional dierential equation

In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.

Initial - Boundary Value Problems for Parabolic Equations

The Initial Boundary Value Problem for Einstein’s Vacuum Field Equation

We study the initial boundary value problem for Einstein’s vacuum field equation. We prescribe initial data on an orientable, compact, 3-dimensional manifold S with boundary 6 6= ∅ and boundary conditions on the manifold T = R0 × 6. We assume the boundaries 6 and {0} × 6 of S and T to be identified in the natural way. Furthermore, we prescribe certain gauge source functions which determine the ...