[HTML][HTML] The Collocation Method Based on the New Chebyshev Cardinal Functions for Solving Fractional Delay Differential Equations

HB Jebreen, I Dassios - Mathematics, 2024 - mdpi.com
The Chebyshev cardinal functions based on the Lobatto grid are introduced and used for the
first time to solve the fractional delay differential equations. The presented algorithm is …

[HTML][HTML] A Novel and Accurate Algorithm for Solving Fractional Diffusion-Wave Equations

H Bin Jebreen, I Dassios - Mathematics, 2024 - mdpi.com
The main objective of this work is to apply a novel and accurate algorithm for solving the
second-order and fourth-order fractional diffusion-wave equations (FDWEs). First, the …

A Highly Accurate Computational Approach to Solving the Diffusion Equation of a Fractional Order

H Bin Jebreen - Mathematics, 2024 - mdpi.com
This study aims to present and apply an effective algorithm for solving the TFDE (Time-
Fractional Diffusion Equation). The Chebyshev cardinal polynomials and the operational …