Simulation of Transverse Standing Waves

ABSTRACT

Solutions
of a hyperbolic partial differential equation in one dimension with appropriate
initial and boundary conditions are conducive to standing waves. We consider
practical initial deformations not reported in literature. Utilizing a Computer
Algebra System such as *Mathematica* we put the formulation into action
simulating the standing waves.

KEYWORDS

Hyperbolic Partial Differential Equation, Transverse Standing Waves, Simulation,*Mathematica*

Hyperbolic Partial Differential Equation, Transverse Standing Waves, Simulation,

Cite this paper

Sarafian, H. (2014) Simulation of Transverse Standing Waves.*World Journal of Mechanics*, **4**, 251-259. doi: 10.4236/wjm.2014.48026.

Sarafian, H. (2014) Simulation of Transverse Standing Waves.

References

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[2] Halliday, D., Resnick, R. and Walker, J. (2011) Fundamentals of Physics. 9th Edition, Wiley, New York.

[3] Tippler, P. and Mosca, G. (2008) Physics for Scientists and Engineers. 6th Edition, Freeman and Company, New York.

[4] http://physics.info/waves-standing

[5] http://en.wikipedia.org/wiki/Standing_wave

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[1] Farlow, S.J. (1982) Partial Differential Equations for Scientists and Engineers. Dover Publications Inc., New York.

[2] Halliday, D., Resnick, R. and Walker, J. (2011) Fundamentals of Physics. 9th Edition, Wiley, New York.

[3] Tippler, P. and Mosca, G. (2008) Physics for Scientists and Engineers. 6th Edition, Freeman and Company, New York.

[4] http://physics.info/waves-standing

[5] http://en.wikipedia.org/wiki/Standing_wave

[6] Rainville, E.D. (1964) Elementary Differential Equations. The Macmillan Company, New York.

[7] Wallace, P.R. (1984) Mathematical Analysis of Physics Problems. Dover Publications Inc., New York.

[8] Sokolnikoff, I.S. and Redheffer, R.M. (1966) Mathematics of Physics and Modern Engineering. 2nd Edition, McGrawHill, New York.

[9] Wolfram, S. (2012) Mathematica, a Computational Software Program Based on Symbolic Mathematics, V9.0.

[10] Kythe, P.K., Puri, P. and Schaferkotter, M.R. (2003) Partial Differential equations and Boundary Value Problems with Mathematica. 2nd Edition, Chapman and Hall/CRC, New York.