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Numerical analysis of the one-demential wave equation subject to a boundary integral specification
journal contribution
posted on 2023-05-19, 19:49 authored by Soltanalizadeh, B, Esmalifalak, H, Hekmati, R, Sarmast, Z, Shabani, SIn 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.
History
Publication title
Walailak Journal of Science and TechnologyVolume
15Issue
6Pagination
421-437ISSN
1686-3933Department/School
TSBEPublisher
Walailak UniversityPlace of publication
ThailandRights statement
Copyright 2018 Walailak Journal of Science and TechnologyRepository Status
- Restricted