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
张继红 1张佳琪1
作者信息
- 1. 大连交通大学理学院,辽宁大连 116028
- 折叠
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.
Abstract
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 tempo-ral 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-in-terpolation method.
关键词
广义Burgers-Fisher方程/MQ拟插值/MQ径向基函数/数值解Key words
generalized Burgers-Fisher equation/MQ quasi-interpolation/MQ radial basis function/numerical solution引用本文复制引用
出版年
2025
NETL
NSTL
万方数据