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Solving the Linear Time-Fractional Wave Equation by Generalized Differential Transform Method
2012
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.
Keywords:
- Stochastic partial differential equation
- Method of characteristics
- First-order partial differential equation
- Laplace transform applied to differential equations
- Numerical partial differential equations
- Separable partial differential equation
- Mathematical optimization
- d'Alembert's formula
- Spectral method
- Mathematics
- Mathematical analysis
- Differential equation
- Linear differential equation
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