Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE

Document Type : Original Article

Authors

1 Banha Higher Institute of Technology.

2 Alfayoum University, Faculty of Science, Mathematics Department.

Abstract

Abstract
The Restrictive Taylor’s Approximation for one-dimension initial boundary value problem for
parabolic partial differential equation is treated by Hassan N. A. Ismail and others in 1999 and
2003. Also two-dimensional problem is treated by the author and others in 2004 and 2006. In this
work we try to solve the three-dimensional case. We prove that the local truncation error are exactly
zero and found that the numerical results are satisfied .