VISUALISATION OF CAUCHY PROBLEM SOLUTION FOR LINEAR T-HYPERBOLIC PDE
VISUALISATION OF CAUCHY PROBLEM SOLUTION FOR LINEAR T-HYPERBOLIC PDE
Graphics Constructor and Cauchy Solver computer dialogue pro- grams were created by A.Bulgak and D.Eminov [1, 2]. These programs use the one dimensional spline functions for visualisation of graphics of real func- tions. The study generalises this approach to the Cauchy problem for linear one dimensional t-hyperbolic PDE[4, 5, 7].
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- [1] A.Bulgak and D.Eminov, Graphics Constructor2.0, Selcuk Journ. Appl. Math., Vol:4, No.1
(2003), 42-57.
- [2] A. Bulgak and D. Eminov, Cauchy Solver, Selcuk Journ. Appl. Math., Vol:4, No.2 (2003),
13-22.
- [3] Rogers D.F, Adams J.A., Mathematical Elements for Computer Graphics McGraw-Hill Pub-
lishing, New York, 1990.
- [4] Godunov S.K., Zabrodin A.B., Ivanov M.Ya., Kraiko A. N., Numerical Solving Many-
Dimensional Problems of Gas Dynamics, Nauka, Moscow(Russian), 1976.
- [5] Godunov S.K.,Equations of Mathematical Physics, 2nd Edition, Nauka, Moscow(Russian),
1979.
- [6] H. Bulgak and D.Eminov,Computer dialogue system MVC, Selcuk Journ. Appl. Math., Vol:2,
No.2 (2001), 17-38.
- [7] O.Sinan, Two Dimensional Spline Functions, PhD thesis in Math., Selcuk Universty, 2008,
Konya, Turkey.