Solution of general vector partial differential equations by multidimensional transform methods
Dymkou V, Rabenstein R, Steffen P (2005)
Publication Status: Published
Publication Type: Conference contribution, Conference Contribution
Publication year: 2005
Book Volume: 2005
Pages Range: 98-103
Article Number: 1507839
Event location: Wuppertal
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33749047020&origin=inward
Abstract
The multi-functional transformation model for the description of physical systems has recently been introduced to the field of discrete simulation of continuous systems. The multi-functional transformation is applied to physical systems which are described by partial differential equations, typically for the time and space variables. It allows to expand the solution of a initial-boundary-value problem in terms of its eigen-functions and associated functions. This expansion serves as the starting point for the development of efficient discrete algorithms that are suitable for computer implementation. The purpose of this article is to extend the presented physical model to singular initial-boundary-value problems.
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APA:
Dymkou, V., Rabenstein, R., & Steffen, P. (2005). Solution of general vector partial differential equations by multidimensional transform methods. In Proceedings of the 4th International Workshop on Multidimensional Systems, NDS 2005 (pp. 98-103). Wuppertal, DE.
MLA:
Dymkou, Vitali, Rudolf Rabenstein, and Peter Steffen. "Solution of general vector partial differential equations by multidimensional transform methods." Proceedings of the 4th International Workshop on Multidimensional Systems, NDS 2005, Wuppertal 2005. 98-103.
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