POLINOMIAL CHEBYSHEV PADA SYARAT BATAS SERAP GELOMBANG AKUSTIK DUA DIMENSI

Mohammad Mahfuzh Shiddiq

Abstract


The problem of boundary conditions in wave equations has many types and methods of completion. One of the problem of boundary conditions is the absorbing boundary condition of the wave equation. This absorbing boundary requirement arises as a result of natural domains on unlimited wave propagation problems and requires large calculations. A numerical solution is inevitable in this type of wave equation. The numerical solution that will be discussed in this paper is to approach the solution of the problem of two-dimensional acoustic wave propagation by using chebyshev polynomial. Several comparison of solution results by using other approaches that have been done are also given to show the effectiveness of which solutions are better.

Keywords


Chebyshev Polynomial; Numerical Solution; Two-dimensional Acoustic Waves

Full Text:

PDF

References


Brunner H dan Han H. 2014. Artificial Boundary Condition and Finite Difference Approximations for A Time-Fractional Wave Equationon on A two-dimensional unbounded spatial domain. Journal of Computational Physics,276: 541-562

Higdon R. 1987. Numerical absorbing boundary conditions for wave equation. Math. Comp. 49. 65–90

Hu, J., dan Jia X. 2016. Numerical Modeling of Seismic Wave Using Frequency-Adaptive Meshes. Journal of Applied Geophysics. 131:41-53

Lin X dan Yu X. 2015. A finite difference method for effective treatment of mild-slope wave equation subject to non-reflecting boundary conditions. Applied Ocean Research, 53: 179-189

Mousavi, M. R. Karimi, M. dan Jamshidi, A. 2016. Probability Distribution of Acoustic Scattering from Slightly Rough Sea Surface. Ocean Engineering, 112: 134-144

Mason J.C dan Handscomb D. 2002. Chebyshev Polynomials. A CRC Press Company. Florida

Shiddiq, M. Mahfuzh. 2011. Syarat batas serap pada gelombang akustik dua dimensi. Jurnal Matematika Murni dan Terapan Epsilon. 05 (2)

Shiddiq, M. Mahfuzh. 2013. Numerical solution of absorbing boundary conditions on two dimensional acoustic wave. Jurnal Matematika Murni dan Terapan Epsilon. 07 (1)

Shiddiq, M. 2015. Numerical Solution of Absorbing Boundary Condition in Padé Approximation. The 2015 International Conference on Mathematics, Its Application, and Mathematics Education. Yogyakarta.

Rowley C and Colonius T. 2000. Discretely nonreflecting boundary condition for linear hyperbolic system. J. Comput. Phys. 15. 500–538




DOI: https://doi.org/10.20527/epsilon.v10i1.52

Refbacks

  • There are currently no refbacks.


Copyright (c) 2016 JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON

Indexed by:

          

 

EDITORIAL OFFICE 

           

 

 

 

Creative Commons License
JMMTE is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.