Tension spline method for the solution of elliptic equations

被引：1

作者：

Zadvan, Homa ^{[1
]}

Rashidinia, Jalil ^{[1
,2
]}

机构：

[1] Islamic Azad Univ, Dept Math & Stat, Cent Tehran Branch, Tehran 13185768, Iran

[2] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2019年 / 13卷 / 01期

关键词：

Elliptic partial differential equation; tension spline function; iterative method; convergence analysis; MULTIGRID METHOD; COLLOCATION METHODS; COMPACT SCHEME;

D O I：

10.1080/16583655.2019.1612977

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, two classes of methods are developed for the solution of two-dimensional elliptic partial differential equations. We have used tension spline function approximation in both x and y spatial directions and a new scheme of order has been obtained. The convergence analysis of the methods has been carried out. Numerical examples are given to illustrate the applicability and accurate nature of our approach.

引用

页码：604 / 610

页数：7

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