The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 29-526
Full Name: Hamlet Meladze
Position: Professor
Age: ON
Sex: Male
Address: 53-a, Chavchavadze aven., Tbilisi
Country: GEORGIA
Tel: (+995)99-22-75-98
Tel prefix:
Fax:
E-mail address: h_meladze@hotmail.com
Other E-mails: t_davitashvili@hotmail.com, dgord37@hotmail.com
Title of the Paper: On One Generalization of Boundary Value Problem for Ordinary Differential Equations on Graphs in the Three-dimensional Space
Authors as they appear in the Paper: David Gordeziani, Hamlet Meladze, Tinatin Davitashvili
Email addresses of all the authors: dgord37@hotmail.com, h_meladze@hotmail.com, t_davitashvili@hotmail.com
Number of paper pages: 10
Abstract: The present work is the generalization of boundary value problem for ordinary differential equations on graphs. This problem is investigated and correctness of the stated problem is proved in [1]. The special attention is given to construction and research of difference analogues. Estimation of precision is given. The formulas of double-sweep method type are suggested for finding the solution of obtained difference scheme. In this work the boundary-value problems for Poisson's equations in the three-dimensional space on some two-dimensional structures with one-dimensional common part is given and investigated. This technique of investigation can be easily applied to the more complex initial data and equations. The difference scheme for numerical solution of this problem is constructed and estimation of precision is given. Such problems have practical sense and they can be used for mathematical modeling of specific problems of physics, engineering, ecology and so on!
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Keywords: Differential equations on graphs, Difference scheme
EXTENSION of the file: .pdf
Special (Invited) Session: The Boundary Value Problem for Poisson Equation on Some Two Dimensional Structures in Three Dimensional Space
Organizer of the Session: 615-213
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