NUMERICAL SOLUTION OF ABSORBING BOUNDARY CONDITION IN PADÉ APPROXIMATION

Mohammad Mahfuzh Shiddiq

Abstract


natural domain require an artificial boundary condition for reducing the size of its natural domain. One of these boundary conditions is absorbing boundary condition. This paper will construct an absorbing boundary condition with Padé approximations and numerical solution by finding the difference equation.


Keywords


Absorbing Boundary Condition; Padé Approximation; Acoustic Wave Equation

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References


Lindmann, E.L. 1975. “Free Space” boundary conditions for the time domain dependent wave equation. J.Comput.Phys. 18. 66–78.

Smith, W.D. 1974. A non reflecting plane boundary for wave propagartion problems. J.Comput.Phys. 15. 492–503

Joly P. and Tuomela J. 1997. A new theoretical approach to absorbing layer. Siam J. Numer. Anal. 34(2). 671–698

Feven T and Jiang Hong. 1999. Absorbing boundary conditions for the schrödinger equation. Siam J. Sci. Comput. 21 (1). 255–282

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)

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

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

Baker G.A and Morris Grave P. 1996. Padé approximation, 2nd edition. Cambridge University Press.

Morton K.W, and Mayers D.F. 2005. Numerical solution of partial differential equation, An Introduction. Cambridge University Press

Mathew J.H and Kurtis F. 1999. Numerical Method Using Matlab; Third edition. Prentice-Hall Inc. New York




DOI: https://doi.org/10.20527/epsilon.v9i2.9

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