Work

Maximum Error Estimates of Discontinuous Galerkin Methods for Solving Neutral Delay Differential Equations

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240386

Authors: Hongyu Qin, Yuanyuan Li, Fengyan Wu

Institutions: Chongqing University, Wuhan Institute of Technology

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533666

FWCI:

Cites:

Cited by:

Related to: 10