Work

B-Spline Wavelet Scheme for Multi-Term Time–Space Variable-Order Fractional Nonlinear Diffusion-Wave Equation

Year: 2025

Type: article

Abstract: This paper presents a novel B-spline wavelet-based scheme for solving multi-term time–space variable-order fractional nonlinear diffusion-wave equations. By combining semi-orthogonal B-spline wavelets with a collocation approach and a quasilinearization technique, we transform the original problem into a system of algebraic equations. To enhance the computational efficiency, we derive the operational matrix formulation of the proposed scheme. We provide a rigorous convergence analysis of the method and demonstrate its accuracy and effectiveness through numerical experiments. The results confirm the robustness and computational advantages of our approach for solving this class of fractional differential equations.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9110707

Authors: Jinwei Fang, Zhe Yu, Xinming Zhang

Institutions: Guangdong University of Technology, Harbin Institute of Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Basic and Applied Basic Research Foundation of Guangdong Province