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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
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