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- Title
Eventual Periodicity of Linearized BBM Equation using RBFs Meshless Method.
- Authors
Uddin, Marjan; Abdullah; Jan, Hameed Ullah
- Abstract
Among the class of dispersive wave equations the BBM equation (Benjamin-Bona-Mahony) is a notable model for long surface gravity waves inside shallow water with small amplitude propagating unidirectionally and has been broadly utilized in research facility and in field investigation of water waves. One more specific subjective part of arrangement for a number of wave equations demonstrated by investigations, which connect along with their large-time behavior named as eventual time periodicity uncovered across solutions to IBVPs (initial-boundary-value-problems). In the present study eventual periodicity of solutions for the linearized BBM equation (IBVP) on a half-line coupled with periodic boundary condition will be explored numerically utilizing meshless technique dependent on RBFs.
- Subjects
EQUATIONS; WATER waves; BOUNDARY value problems; MESHFREE methods; NUMERICAL analysis
- Publication
Punjab University Journal of Mathematics, 2021, Issue 3, p9
- ISSN
1016-2526
- Publication type
Article