REGULARITY AND NUMERICAL SOLUTION FOR THE EXACT CONTROL
Author(s) -
Mauro A. Rincon
Publication year - 2014
Publication title -
pesquimat
Language(s) - English
Resource type - Journals
eISSN - 1609-8439
pISSN - 1560-912X
DOI - 10.15381/pes.v2i2.9238
Subject(s) - controllability , mathematics , finite difference , exact solutions in general relativity , finite difference method , boundary (topology) , mathematical analysis , numerical analysis , order (exchange) , control (management) , wave equation , boundary value problem , computer science , artificial intelligence , economics , finance
In this paper we study a Numerical Method based on Finite Difference to the Boundary Exact Controllability problem for the Wave Equation. We consider the one dimensional problem. A regularity result is pro ven in order to allow us to use the Finite Difference Method. Numerical results are shown and compared to the exact solution of some particular problems, computed by the Fourier Serie.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom