This miniapp is a simple use case of the Kokkos, MPI and PDI libraries for solving the linear heat equation on a 2D cartesian mesh with periodic boundary condition. In particular, it showcases the use ...

Proceedings of the American Mathematical Society, Vol. 119, No. 2 (Oct., 1993), pp. 585-594 (10 pages) We study the initial Dirichlet problem and the initial Neumann problem for the heat equation in ...

This is a preview. Log in through your library . Abstract In this note we obtain estimates in terms of the size of the initial data for the blow-up time of positive solutions of the heat equation in ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...