Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE
Ismail, H., Shafay, A. (2006). Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE. EKB Journal Management System, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), 1-15. doi: 10.21608/icmep.2006.29913
Hassan N. A. Ismail; Ahmed R. A. Shafay. "Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE". EKB Journal Management System, 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), 2006, 1-15. doi: 10.21608/icmep.2006.29913
Ismail, H., Shafay, A. (2006). 'Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE', EKB Journal Management System, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), pp. 1-15. doi: 10.21608/icmep.2006.29913
Ismail, H., Shafay, A. Restrictive Taylor’s Approximation for Higher Dimension IBV Problem for Parabolic PDE. EKB Journal Management System, 2006; 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)): 1-15. doi: 10.21608/icmep.2006.29913

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

The International Conference on Mathematics and Engineering Physics
Article 10, Volume 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), May 2006, Page 1-15  XML PDF (398.69 K)
Document Type: Original Article
DOI: 10.21608/icmep.2006.29913
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Authors
Hassan N. A. Ismail1; Ahmed R. A. Shafay2
1Banha Higher Institute of Technology.
2Alfayoum 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 .
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