Solving the Linear Time-Fractional Wave Equation by Generalized Differential Transform Method

Xue Hui Chen; Liang Wei; Ji Zhe Sui; Lian Cun Zheng

doi:10.4028/www.scientific.net/AMM.204-208.4476

Paper Titles

Nonlinear Dynamic Response of Buoys under the Collision Load with Ships
p.4455

Application of Differential Transform Method to Buckling Problems at Pinned-Clamped Boundary Conditions
p.4460

Research of the Pile Bent Property under the Horizontal Load
p.4465

Experimental Research on Interface Mechanic Behavior of the Composite Steel-Concrete Beams
p.4471

Solving the Linear Time-Fractional Wave Equation by Generalized Differential Transform Method
p.4476

Numerical Analysis for Bolt Length Based on the Stress Response of Anchorage Surrounding Rock
p.4481

A Novel Numerical Method for Computing Stress Intensity Factors
p.4486

The Effect of Boundary Conditions on Simulation of Horizontally Homogeneous Atmospheric Boundary Layer
p.4490

Identification Method Research of Elastic Buckling Load of the Compressed Beam at Two Ends Elastic Fixed
p.4495

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 204-208Solving the Linear Time-Fractional Wave Equation...

Solving the Linear Time-Fractional Wave Equation by Generalized Differential Transform Method

Abstract:

In this paper, the generalized differential transform method is implemented for solving time-fractional wave equations in fluid mechanics. This method is based on the two-dimensional differential transform method (DTM) and generalized Taylor’s formula. The results reveal the method is feasible and convenient for handling approximate solutions of time-fractional partial differential equations.