MAXIMUM ERROR ESTIMATES OF DISCONTINUOUS GALERKIN METHODS FOR SOLVING NEUTRAL DELAY DIFFERENTIAL EQUATIONS

被引：0

作者：

Qin, Hongyu ^{[1
]}

Li, Yuanyuan ^{[1
]}

Wu, Fengyan ^{[2
,3
]}

机构：

[1] Wuhan Inst Technol, Sch Math & Phys, Wuhan 430205, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[3] Chongqing Univ, Key Lab Nonlinear Anal & its Applicat, Minist Educ, Chongqing 401331, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 04期

关键词：

Neutral delay differential equations; maximum error estimates; discontinuous Galerkin methods; SINGULARLY PERTURBED PROBLEM; RUNGE-KUTTA METHODS; ONE-LEG METHODS; NONLINEAR STABILITY; OPTIMAL SUPERCONVERGENCE; PARABOLIC PROBLEMS; THETA-METHODS; LDG METHOD; CONVERGENCE;

D O I：

10.11948/20240386

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exact solution to a neutral delay differential equation is generally non-smooth. Some possible loss of accuracy is usually found if certain high-order numerical methods are applied. The discontinuous Galerkin (DG) methods are introduced to numerically solve neutral delay differential equations so as to handle the difficulties. Maximum error estimates of the numerical method is investigated. Theoretical results indicate that the p-degree DG approximate solution has an accuracy of p-th order. Numerical experiments are presented to confirm the effectiveness and performance of the DG methods.

引用

页码：2027 / 2043

页数：17

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