Legendre多小波函数求解线性分数阶Klein-Gordon方程  

Legendre Multiwavelet Functions for Solving Linear Klein-Gordon Equations of Fractional Order

作　　者：罗童 陈豫眉 罗英 LUO Tong;CHEN Yumei;LUO Ying(School of Mathematics and Information,China West Normal University,Nanchong 637009,China;School of Mathematics Education,China West Normal University,Nanchong 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009 [2]西华师范大学公共数学学院,四川南充637009

出　　处：《安阳师范学院学报》2025年第2期5-10,共6页Journal of Anyang Normal University

基　　金：西华师范大学科研项目(项目编号:KH2023-061)。

摘　　要：在Caputo分数阶导数的意义下,利用基于Legendre多小波函数的Ritz-Galerkin方法求解线性分数阶Klein-Gordon方程。将Klein-Gordon方程用矩阵表示,并转化为一个含未知系数的线性方程组并对其进行求解,得到原问题数值解的系数,进而得到原问题的数值解。最后通过两个数值算例验证了方法的有效性。In the sense of Caputo fractional derivative,the Ritz–Galerkin method based on Legendre multiwavelet functions is used to solve linear Klein–Gordon equations of fractional order.The Klein–Gordon equation is expressed by matrix and transformed into a linear system of equations with unknown coefficients,and then the numerical solution of the original problem is obtained.The effectiveness of the proposed method is verified through two numerical examples.

关 键 词：Legendre多小波函数 Ritz-Galerkin 分数阶Klein-Gordon方程 CAPUTO分数阶导数 

分 类 号：O241.82[理学—计算数学]