Physics – Computational Physics
Scientific paper
2007-11-16
Int.J.Mod.Phys.C20:1827-1848,2009
Physics
Computational Physics
Accepted for publication in International Journal of Modern Physics C (IJMPC)
Scientific paper
10.1142/S012918310901476X
The inhomogeneous Zerilli equation is solved in time-domain numerically with the Chebyshev spectral collocation method to investigate a radial-infall of the point particle towards a Schwarzschild black hole. Singular source terms due to the point particle appear in the equation in the form of the Dirac $\delta$-function and its derivative. For the approximation of singular source terms, we use the direct derivative projection method without any regularization. The gravitational waveforms are evaluated as a function of time. We compare the results of the spectral collocation method with those of the explicit second-order central-difference method. The numerical results show that the spectral collocation approximation with the direct projection method is accurate and converges rapidly when compared with the finite-difference method.
Jung Jae-Hun
Khanna Gaurav
Nagle Ian
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