2 articles for “Raylin Wu”

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Research ArticleOpen accessIn the author namesA Generalization of the Frobenius Method for Ordinary Differential Equations with Regular Singular PointsJung-Hua Chou, Raylin WuThe conventional Frobenius method for second order differential equations with regular singular points is extended to differential equations of higher and lower orders. The conditions of a point being regular singular are addressed. It is also shown that Cauchy-Euler differential equations are a special case of ordinary differential equations with regular singular points. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 7,545 accessesView PDF Cite

Research ArticleOpen accessIn the author namesFourier Series With Spectral and Wave Number DecompositionJung-Hua Chou, Raylin WuIn this study, the generic nature of Fourier series is pointed out and the requirement of dimensional homogeneity for physical systems is emphasized. By suitable application of non-dimensional variables, both time versus frequency and spatial versus wave number decomposition of Fourier series are included properly to put the physics involved into the right physical meanings. Furthermore, the high frequency noise … …American Journal of Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2004 · 7,253 accessesView PDF Cite