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 = Spectral methods
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 MoreA Hybrid Orthogonal Polynomial Approach for Optimal Control of Fractional Parabolic PDEs: Combining Legendre, Chebyshev, and Jacobi Polynomials
Volume 11, Issue 2 , May 2026, , Pages 153-177
Abstract
This paper presents a novel hybrid orthogonal polynomial method for solving optimal control problems governed by fractional parabolic PDEs. By strategically weighting and combining these polynomial bases, the method adaptively leverages their respective strengths to achieve superior approximation properties. ... Read More)