A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation

Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fracti...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-7
Main Authors: Ali, Umair, Khan, Muhammad Asim, Khater, Mostafa M. A., Mousa, A. A., Attia, Raghda A. M.
Format: Article
Language:English
Subjects:
Approximation
Diffusion
Earthquakes
Methods
Numerical analysis
Polymers
Seismic activity
Stability analysis
Theoretical analysis
Vibration
Wave equations
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Summary:Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fractional-order derivative is in the Riemann-Liouville (R-L) sense. Discussed the theoretical analysis of stability, consistency, and convergence. The numerical examples demonstrate that the method is more workable and excellently holds the theoretical analysis, showing the scheme’s feasibility.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/6638597