Volume 11 (2026)
Volume 10 (2025)
Volume 9 (2024)
Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)
Keywords = Caputo fractional derivative
Number of Articles: 2
Comparative Accuracy Analysis of Spectral and Collocation Methods for the Fractional Bagley–Torvik Equation: A Systematic Numerical Study
Articles in Press, Accepted Manuscript, Available Online from 28 May 2026
Abstract
The Bagley--Torvik equation, which governs the motion of a rigid plate immersed in a Newtonian fluid with viscoelastic damping, represents one of the canonical benchmark problems in fractional calculus. This paper presents a systematic comparative numerical analysis of four established methods for solving ... Read MoreRitz-Approximation Method for Solving Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equations
Volume 11, Issue 1 , January 2026, , Pages 101-114
Abstract
The advection-dispersion, variable-order differential equations have a vast application in fluid physics and energy systems. In this study, we propose a Ritz-approximation method using shifted Legendre polynomials to construct approximate numerical solutions for these equations. The ... Read More)