CAJ | 학술논문

提出了一种形式简单、网格剖分灵活、具有一定通用性的非均匀网格上的三点四阶紧致差分格式，对格式的截断误差进行了分析。采用文中提出的格式对 Burgers 方程和对流方程进行数值求解，并与均匀网格上的三点四阶紧致差分格式所得数值解对比，结果证明本文提出的格式对于大梯度问题的数值模拟有更高的精度。
제출료일충형식간단、망격부분령활、구유일정통용성적비균균망격상적삼점사계긴치차분격식，대격식적절단오차진행료분석。채용문중제출적격식대 Burgers 방정화대류방정진행수치구해，병여균균망격상적삼점사계긴치차분격식소득수치해대비，결과증명본문제출적격식대우대제도문제적수치모의유경고적정도。
A third-point fourth-order compact difference scheme is proposed on the non-uniform grid , which is simple in form , flexible in grid subdivision and general in use . The truncation error of the scheme is analyzed . The Burgers equation and the convection equation are solved numerically by using present scheme , the numerical solutions are compared with those obtained from the standard third-point fourth-order compact difference scheme on the uniform grid ,and the results show that the present scheme have higher accuracy for large gradient problems .