数学
规范(哲学)
应用数学
数值分析
期限(时间)
卷积(计算机科学)
耗散系统
数学分析
物理
量子力学
机器学习
政治学
人工神经网络
计算机科学
法学
作者
Qihang Sun,Jindi Wang,Luming Zhang
标识
DOI:10.1016/j.camwa.2023.04.008
摘要
A new third-order energy stable technique, which is a convex splitting scheme with the Douglas-Dupont regularization term Aτ2(ϕn−ϕn−1), is proposed for solving the extended Fisher–Kolmogorov equation. The higher-order backward difference formula is used to deal with the time derivative term. The constructed numerical scheme is uniquely solvable and unconditionally preserves the modified discrete energy dissipative law. With the help of discrete orthogonal convolution kernels, the L2 norm error estimate of the stabilized BDF3 scheme can be established by acting the standard inner product with the error system. Several numerical experiments are used to verify the validity of the numerical method and the correctness of the theoretical analysis.
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