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

Umair Ali | Zendy; Muhammad Asim Khan | Zendy; Mostafa M. A. Khater | Zendy; Abd Allah A. Mousa | Zendy; Raghda A. M. Attia | Zendy

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

Author(s) -

Umair Ali,

Muhammad Asim Khan,

Mostafa M. A. Khater,

Abd Allah A. Mousa,

Raghda A. M. Attia

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6638597

Subject(s) - fractional calculus , stability (learning theory) , consistency (knowledge bases) , convergence (economics) , derivative (finance) , mathematics , diffusion , numerical analysis , diffusion equation , mathematical analysis , order (exchange) , computer science , physics , geometry , engineering , metric (unit) , operations management , finance , machine learning , financial economics , economics , thermodynamics , economic growth

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.

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