%0 Journal Article
%T 求解非线性退化抛物方程的HWENO-LW格式<br>HWENO-LW Scheme for Solving Nonlinear Degenerate Parabolic Equations
%A 孔莹莹
%A 刘红霞
%J Advances in Applied Mathematics
%P 292-302
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.143116
%X 本文构造了基于Lax-Wendroff时间离散的有限差分HWENO (Hermite加权本质非振荡)格式&#65292;用于求解非线性退化抛物方程。与传统的Runge-Kutta时间离散方法相比&#65292;Lax-Wendroff方法在提高计算效率的同时&#65292;能够在解的光滑区域实现时空一致的高阶精度。通过数值算例&#65292;验证了该方法的有效性。<br>This paper constructs a finite difference HWENO (Hermite Weighted Essentially Non-Oscillatory) scheme based on Lax-Wendroff time discretization for solving nonlinear degenerate parabolic equations. Compared to traditional Runge-Kutta time discretization methods, the Lax-Wendroff method improves computational efficiency while achieving high-order accuracy in both space and time in smooth regions of the solution. The effectiveness of the method is validated through numerical examples.
%K HWENO格式&#65292
%K Lax-Wendroff时间离散&#65292
%K 非线性退化抛物方程&#65292
%K 有限差分方法<br>HWENO Scheme
%K Lax-Wendroff Time Discretization
%K Nonlinear Degenerate Parabolic Equations
%K Finite Difference Method
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=109718