基于一种新型MQ拟插值格式的广义Burgers-Fisher方程数值解研究  

Application of a Novel MQ Quasi-interpolation Algorithm in Generalized Burgers-Fisher Equation

作　　者：张继红[1] 张佳琪 ZHANG Ji-hong;ZHANG Jia-qi(College of Science,Dalian Jiaotong University,Dalian 116028,Liaoning,China)

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《兰州文理学院学报(自然科学版)》2025年第1期40-45,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金青年科学基金项目(11801056)。

摘　　要：主要研究了一种新型MQ拟插值格式在广义Burgers-Fisher方程中的应用,在时间方向上采用向前差分法进行离散,对空间方向采用新型拟插值近似,从而给出数值计算解法.通过数值实验,并与其他方法进行比较,得到在不同时间以及不同节点处的误差值.实验结果验证了新型拟插值方法的有效性和准确性.This paper mainly studies the application of a new MQ quasi-interpolation scheme in the generalized Burgers-Fisher equation.The forward difference method is used in the temporal direction,and the novel quasi-interpolation method is used for the spatial term,so as to give the numerical calculation solution.Through numerical experiments,and comparing with other methods,error values at different times and at different nodes are obtained with other methods.The experimental results verify the effectiveness and accuracy of the novel quasi-interpolation method.

关 键 词：广义BURGERS-FISHER方程 MQ拟插值 MQ径向基函数 数值解 

分 类 号：O241.82[理学—计算数学]