AN INNOVATIVE NUMERICAL APPROACH FOR TWO-TERM TIME-FRACTIONAL DIFFUSION WAVE EQUATION

Fractals 2026 Open access

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Authors: KHADIJA SHAHZADI, Shno Othman Ahmed, Amal Alshabanat, Sadia Saeed, Umair Ali, Sanaullah Mastoi
DOI: 10.1142/s0218348x26400098
Cited by: 1
References: 57

Abstract

This research paper mainly focuses on two things: modeling the time-fractional diffusion wave equation and developing a new discretization for the Riemann–Liouville fractional derivative operator. The Riemann–Liouville fractional derivative is discretized for both first- and second-order derivatives, then used for the temporal derivative discretization of fractional-order [Formula: see text], and the spatial derivative is discretized by a compact Crank–Nicolson difference scheme. The Von-Neumann analysis method is used to compute the stability and convergence of theoretical analysis. Numerical analysis involves errors, tables, and graphical computation, validating the theoretical results.

Fields of Study & Subjects

Fractional Differential Equations Solutions Nonlinear Waves and Solitons Thermoelastic and Magnetoelastic Phenomena

Publication details

Journal / source
Fractals
Publisher
World Scientific Pub Co Pte Ltd
Volume
34
Issue
08
Publication date
1 January 2026
Language
EN