吉林大学学报（理学版）2024，Vol.62Issue(4)：878-885,8.DOI:10.13413/j.cnki.jdxblxb.2023516
二阶非线性抛物方程的B样条有限元法
B-Spline Finite Element Method of Second Order Nonlinear Parabolic Equation
摘要
Abstract
Firstly,we uesd the quadratic B-spline finite element method to solve the Fisher-Kolmogorov(FK)equation,and proved the stability and convergence of solutions for the semi-discrete scheme and the fully discrete scheme.Secondly,the time variable was discretized by using the Crank-Nicolson method and the convergence order of the approximate solution was O((Δt)2+h3).Finally,the numerical example verified theoretical analysis results and the effectiveness of the B-spline finite element method.关键词
Fisher-Kolmogorov方程/二次B样条有限元法/稳定性/收敛性Key words
Fisher-Kolmogorov equation/quadratic B-spline finite element method/stability/convergence分类
数理科学引用本文复制引用
秦丹丹,王大铭,黄文竹..二阶非线性抛物方程的B样条有限元法[J].吉林大学学报（理学版）,2024,62(4):878-885,8.基金项目
贵州省卫健委科技基金(批准号:gzwkj2023-591). （批准号:gzwkj2023-591）
