A novel approach to approximate solution of time fractional gas dynamics equation with Atangana-Baleanu derivative

作     者：Noureen, Rabia Iqbal, Muhammad Kashif Asgir, Maryam Almohsen, Bandar Azeem, Muhammad 

作者机构：Govt Coll Univ Dept Math Faisalabad 38000 Pakistan Riphah Int Univ Dept Math Lahore Pakistan King Saud Univ Coll Sci Dept Math POB 2455 Riyadh 11451 Saudi Arabia Univ Manchester Sch Engn Dept Solids & Struct Manchester M13 9PL England 

出 版 物：《ALEXANDRIA ENGINEERING JOURNAL》 (Alexandria Engineering Journal)

年 卷 期：2025年第116卷

页      面：451-471页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

基　　金：King Saud University  Riyadh  Saudi Arabia [RSP2025R158] 

主　　题：Time fractional gas dynamics equation Atangana-Baleanu derivative Cubic B-spline functions Collocation method Stability Finite difference formulation Convergence 

摘      要：This research paper investigates a numerical scheme based on cubic B-spline functions for solving the time fractional gas dynamics equation incorporating the Atangana-Baleanu derivative. The Atangana-Baleanu time fractional derivative has been approximated by adopting the typical finite difference formulation while the cubic B-spline functions are employed to accomplish spatial discretization. A conditional bound for stability has been derived and a convergence analysis for cubic B-spline interpolation is conducted to measure the accuracy of the solution. The effectiveness and accuracy of the proposed method are tested through numerical simulations. Graphical and tabular results are exhibited to evaluate the outcomes of the proposed strategy. The major advantage of the suggested scheme is that the algorithm is straightforward to carry out.