The Wave Equation Together with Matheu-Hill and Laguerre Form Dynamic Boundary Conditions

The present study illustrates a series method for the solutions of one dimensional wave equation together with non-classical dynamic boundary conditions. Matheu-Hill form, a differential equation with polynomial form and Laguerre differential equation form dynamic boundary conditions were taken into consideration. Series methods were given in order for the solutions of wave equation together with these dynamic boundary conditions along with semi-infinite axis of the spatial coordinate. Wave profiles were obtained by means of wave solutions of the wave equation given by d’Alembert.

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Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

K. Koser, "The Wave Equation Together with Matheu-Hill and Laguerre Form Dynamic Boundary Conditions," World Journal of Mechanics, Vol. 1 No. 6, 2011, pp. 306-309. doi: 10.4236/wjm.2011.16039.

 [1] P. V. O’Neil, “Advanced Engineering Mathematics,” Tho- msons, 2003. [2] L. A. Pipes and L. R. Harvill, “Applied Mathematics for Engineers and Physicist,” McGraw-Hill, Boston, 1970. [3] K. F. Riley, M. P. Hobson and S. J. Bence, “Mathematical Methods for Physics and Engineering,” Cambridge Uni- versity Press, Cambridge, 2006. [4] K. Koser, “Torsional Vibrations of Drive Shafts of Ma- chines,” Ph.D Thesis, Istanbul Technical University, Is- tanbul, 1993. [5] K. Koser and F. Pasin, “Continuous Modelling of the Tor- sional Vibrations of the Drive Shaft of Mechanism,” Jour- nal of Sound and Vibration, Vol. 188, No. 1, 1995, pp 17-24. doi:10.1006/jsvi.1995.0575