Numerical Technique for a System of Nonlinear Partial Differential Equations of the Time-Fractional Order

Journal of Applied & Computational Mathematics

article

Kawala AM¹ 

[1] Department of Mathematics, Faculty of Science, Helwan University

关键词: Fractional nonlinear wave equations systems;    Caputofractional derivative;    Generalized differential transform method;    Taylorseries method;   

DOI  :  10.4172/2168-9679.1000398

来源: Hilaris Publisher

【 摘 要 】

In this article, generalized differential transform method (GDTM) has been employed to obtain traveling wavesolutions for some Systems of nonlinear wave equations of time-fractional order. This demonstrates the validity andgreat potential of the generalized differential transform method (GDTM) for solving system of nonlinear fractionalpartial differential equations NFDEs. Thus NFDEs can be easily solved with less computational work for any analyticnonlinearity due to the properties and available algorithms of the generalized differential transform method (GDTM).The fractional derivative is described in the Caputo fractional derivative sense. The solutions are obtained in the formof rapidly convergent infinite series with easily computable terms.

【 授权许可】

Unknown