Computational analysis of time-fractional models in energy infrastructure applications

• Main Authors: Ahmad I., Bakar A.A., Ali I., Haq S., Yussof S., Ali A.H.
• Other Authors: 57220824630
• Format: Article
• Published: Elsevier B.V. 2024
• Subjects: Caputo derivative; Convection-diffusion equation; Energy infrastructure; Fibonacci polynomials; Finite differences; Lucas polynomials; Diffusion in liquids; Heat convection; Partial differential equations; Polynomials; Caputo derivatives; Computational analysis; Convection-diffusion equations; Energy infrastructures; Finite difference; Fractional model; Infrastructure applications; Luca polynomial; One-dimensional; Numerical methods

In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative. The presented approach employs a hybrid method that combines Lucas and Fibonacci polynomials with the Caputo derivative definit...