Work

Numerical Simulation Based on Interpolation Technique for Multi-Term Time-Fractional Convection–Diffusion Equations

Year: 2024

Type: article

Abstract: This paper introduces a novel approach for solving multi-term time-fractional convection–diffusion equations with the fractional derivatives in the Caputo sense. The proposed highly accurate numerical algorithm is based on the barycentric rational interpolation collocation method (BRICM) in conjunction with the Gauss–Legendre quadrature rule. The discrete scheme constructed in this paper can achieve high computational accuracy with very few interval partitioning points. To verify the effectiveness of the present discrete scheme, some numerical examples are presented and are compared with the other existing method. Numerical results demonstrate the effectiveness of the method and the correctness of the theoretical analysis.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120687

Authors: Xindong Zhang, Yan Chen, Leilei Wei, Sunil Kumar

Institutions: Guizhou University of Finance and Economics, Xinjiang University of Technology, Henan University of Technology, National Institute of Technology Jamshedpur

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: Natural Science Foundation of Xinjiang Province