科研之友
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摘要
We solve the integral equation that describes an oscillating inhomogeneous string by using a spectral expansion method in terms of Chebyshev polynomials. The result is compared with the solution of the corresponding differential equation, obtained by an expansion into a set of sine-wave functions. The accuracy of the two methods is determined by comparison with an iterative method, which allows a precision of one part in 10(11). This iterative method is based on a method introduced by Hartree and is implemented by using the spectral expansion procedures.
- 出版日期2011-4
