Tay, Kim Gaik and Tiong, Wei King and Choy, Y. Y. and Tiong, Ong Chee (2018) Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25 (1). pp. 53-61. ISSN 1492-8760
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Official URL: https://www.researchgate.net/publication/323255562
Abstract
In this paper, we solved the dissipative nonlinear Schrödinger Equation (DNLSV) with variable coefficient by Crank-Nicolson (CN) implicit finite-difference method. The DNLSV equation arises in nonlinear wave modulation in an elastic tube with a symmetrical stenosis filled with viscous fluid. We then compared numerical solutions with its progressive wave solution. The CN scheme is consistent with the differential equation and is unconditionally stable.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Crank-Nicolson, Dissipative |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Computing |
| ID Code: | 86689 |
| Deposited By: | Widya Wahid |
| Deposited On: | 30 Sep 2020 09:04 |
| Last Modified: | 30 Sep 2020 09:04 |
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