کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4629275 | 1340576 | 2013 | 14 صفحه PDF | دانلود رایگان |
This article presents numerical methods for solving second-order ordinary differential equations. These methods are based on Hermite polynomials, which makes them more computationally effective than, for example, the classical fourth-order Runge–Kutta method. In addition, the presented algorithms were modified to reduce the CPU time required. Hermite polynomials are not very sensitive to the Runge phenomenon; moreover, the numerical errors of interpolation are relatively small for large time steps, which is an advantage. These methods are presented in the form of pseudo-code for easier application. The presented approach to numerical methods is a result of simulated, strongly non-linear vibrations with contact phenomena such as Coulomb friction and impact.
Journal: Applied Mathematics and Computation - Volume 219, Issue 19, 1 June 2013, Pages 10082–10095