文章基本信息

标题：Numerical Analysis of the One-Demential Wave Equation Subject to a Boundary Integral Specification
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作者：Babak SOLTANALIZADEH ; Babak SOLTANALIZADEH ; Hamidreza ESMALIFALAK 等
期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2016
卷号：15
期号：6
页码：421-437
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：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.