五邑大学学报(自然科学版)
五邑大學學報(自然科學版)
오읍대학학보(자연과학판)
JOURNAL OF WUYI UNIVERSITY(NATURAL SCIENCE EDITION)
2013年
4期
15-20
,共6页
二维 Helmholtz方程%Taylor多项式逼近%误差分析
二維 Helmholtz方程%Taylor多項式逼近%誤差分析
이유 Helmholtz방정%Taylor다항식핍근%오차분석
two-dimensional Helmholtz equation%Taylor polynomial approximation%error analysis
利用 Taylor 多项式方法,对二维 Helmholtz 方程进行数值解研究。首先将 Helmholtz 方程问题转化为矩阵方程,建立了 Taylor 多项式逼近解的求解格式;其次给出了 Taylor 逼近解与精确解的误差分析,同时给出了几个数值例子验证该方法的有效性与可靠性。
利用 Taylor 多項式方法,對二維 Helmholtz 方程進行數值解研究。首先將 Helmholtz 方程問題轉化為矩陣方程,建立瞭 Taylor 多項式逼近解的求解格式;其次給齣瞭 Taylor 逼近解與精確解的誤差分析,同時給齣瞭幾箇數值例子驗證該方法的有效性與可靠性。
이용 Taylor 다항식방법,대이유 Helmholtz 방정진행수치해연구。수선장 Helmholtz 방정문제전화위구진방정,건립료 Taylor 다항식핍근해적구해격식;기차급출료 Taylor 핍근해여정학해적오차분석,동시급출료궤개수치례자험증해방법적유효성여가고성。
In this paper, the Taylor polynomial method is used to solve the two-Dimensional Helmholtz equation. First, using the method of Taylor polynomial approximation, the Helmholtz equation is transformed into matrix equation and the format of the solution is obtained. The error analysis of the method is given between the approximate solution and the exact solution, and some numerical experiments are given to prove the efficiency and dependability of the method.