Numerical Exponential Decay to Dissipative Bresse System
Author(s) -
M.L. Santos,
D. S. Almeida Júnior
Publication year - 2010
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2010/848620
Subject(s) - dissipative system , exponential function , computation , exponential decay , finite difference , exponential growth , mathematical analysis , mathematics , finite difference method , physics , algorithm , quantum mechanics
We consider the Bresse system with frictional dissipative terms acting in all the equations. We show the exponential decay of the solution by using a method developed by Z. Liu and S. Zheng and their collaborators in past years. The numerical computations were made by using the finite difference method to prove the theoretical results. In particular, the finite difference method in our case is locking free
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