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Numerical analysis of the one-demential wave equation subject to a boundary integral specification
Citation
Soltanalizadeh, B and Esmalifalak, H and Hekmati, R and Sarmast, Z and Shabani, S, Numerical analysis of the one-demential wave equation subject to a boundary integral specification, Walailak Journal of Science and Technology, 15, (6) pp. 421-437. ISSN 1686-3933 (2018) [Refereed Article]
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Copyright Statement
Copyright 2018 Walailak Journal of Science and Technology
Official URL: http://wjst.wu.ac.th/index.php/wjst/article/view/1...
Abstract
In this paper a numerical technique is developed for the one-dimensional wave equation that combines classical and integral boundary conditions. A new matrix formulation technique with arbitrary polynomial bases is proposed for the analytical solution of this kind of partial differential equation. Not only have the exact solutions been achieved by the known forms of the series solutions, but also, for the finite terms of series, the corresponding numerical approximations have been computed. We give a simple and efficient algorithm based on an iterative process for numerical solution of the method. Some numerical examples are included to demonstrate the validity and applicability of the technique.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | wave equation, nonlocal boundary conditions, expansion methods, matrix formulation |
| Research Division: | Mathematical Sciences |
| Research Group: | Applied mathematics |
| Research Field: | Applied mathematics not elsewhere classified |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Esmalifalak, H ( Hamidreza Esmalifalak) |
| ID Code: | 127409 |
| Year Published: | 2018 |
| Deposited By: | TSBE |
| Deposited On: | 2018-07-26 |
| Last Modified: | 2018-12-05 |
| Downloads: | 0 |
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