Numerical optimization algorithm for solving time-fractional telegraph equations

• DOI: 10.1088/1402-4896/adbf6f
• Publication Date: 2025-03-11T22:54:41Z
• Authors: Jiakun Zhang; Fengying Zhou; Naiwei Mao
• Keywords: Optimization algorithm

Abstract A numerical optimization algorithm utilizing the eighth kind fractional Chebyshev wavelets (EFCWs) in conjunction with Whale Optimization Algorithm (WOA) is developed for solving time-fractional telegraph equations. First, EFCWs are constructed based on polynomials. Subsequently, several properties of analyzed detail, including convergence analysis wavelet expansions and error estimation. Following this, integration formulas derived under Riemann-Liouville integral framework. Utilizing these along collocation method, a scheme established by discretizing equation into system Thereafter, WOA employed to further optimize proposed algorithm. Finally, specific examples presented illustrate application this method.
The computed results rigorously compared existing research outcomes. The comparative not only verifies feasibility effectiveness method but also highlights potential enhancing performance scheme.