Numerical Analysis of the One-Demential Wave Equation Subject to a Boundary Integral Specification

Authors

  • Babak SOLTANALIZADEH Department of Mathematics, Prairie View A&M University, Prairie View, TX
  • Hamidreza ESMALIFALAK Department of Economics and Finance, University of Tasmania, Hobart
  • Rasoul HEKMATI Department of Mathematics, University of Houston, Houston, TX
  • Zahra SARMAST Department of Mathematics, University of Houston, Houston, TX
  • Sepideh SHABANI Department of Management and Economics, Islamic Azad University, Tabriz

DOI:

https://doi.org/10.48048/wjst.2018.1153

Keywords:

Wave equation, nonlocal boundary conditions, expansion methods, matrix formulation

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.

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Published

2016-08-28

How to Cite

SOLTANALIZADEH, B., ESMALIFALAK, H., HEKMATI, R., SARMAST, Z., & SHABANI, S. (2016). Numerical Analysis of the One-Demential Wave Equation Subject to a Boundary Integral Specification. Walailak Journal of Science and Technology (WJST), 15(6), 421–437. https://doi.org/10.48048/wjst.2018.1153

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Section

Research Article