The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

S. Padmasekaran; C. Thangavelu

doi:https://doi.org/10.14445/22315373/IJMTT-V63P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 63 | Number 2 | Year 2018 | Article Id. IJMTT-V63P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P514

The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)

S. Padmasekaran, C. Thangavelu

Abstract

Differential transform method is used to obtain the closed form solution of the (n+1) dimensional Equal Width Wave equation.In this method the solution is calculated in the form of the convergent Power series with easily computable Components.The results demonstrate the reliability and efficiency of this method.

Keywords

(n + 1)-dimensional Equal Width wave equation, differential transform method.

References

[1] Morrison . P.J., Meiss.J.D., Carey .J.R : Scattering of RLW Solitary Waves, Physica D 11.
[2] Zhou.J.K.,1986, Differential transform and its application for electrical circuits, Huazhong university Press,china.
[3] Jang.M.J., C.L.Chen and Y.CLiu,2001, Two dimensional Differential transform for Partial Differential Equations, Applied Mathematics and Computation,121:261-270
[4] Ayaz, Fatma,2003, On the Two Dimensional Differential Transform Method . Ap- plied Mathematics and Computation,143:361-314
[5] Ayaz, Fatma,2004 , Solution of the System of the Differential Equations using dif- ferential transform method . Applied Mathematics and Computation,147:547-567
[6] H O,S.H and C.K.Chen,1998, Analysis Of General Elastically and restrained Non- Uniform BeamsUsing Differential Transform Method . Applied Mathematical Modelling,22:219-234
[7] Ozdemir. O and Kaya,2006 ,Flapwise bending Vibration analysis of a rotating ta- pered Cantilever Bernouulli-Euler beam by Differential transform method . Journal of Sound and Vibration,289:413-420
[8] Ozgumus. O and Kaya,2006, Flapwise bending Vibration analysis of double ta- pered rotating Bernouulli-Euler beam by Differential transform method . Meccanica, 41:661-670
[9] Seval Catal,2008, Solution of free vibration equations of beam on elastic soil by using Differential transform method . Applied Mathematical Modelling ,32:1744-1757
[10] Mei.C, 2006, Application of differential transformation technique to free vibration analysis of a centrifugally stiffened beam . Computers and Structures, 86:1280-1284

Citation :

S. Padmasekaran, C. Thangavelu, "The (n+1)-Dimensional Equal Width Wave Equation by Differential Transform Method (DTM)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 2, pp. 109-117, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P514