A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation. (6th January 2021)

• Record Type: Journal Article
• Authors: Ali, Umair; Khan, Muhammad Asim; Khater, Mostafa M. A.; Mousa, A. A.; Attia, Raghda A. M.
• Other Names: Nisar Kottakkaran Sooppy Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-01-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6638597
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.