Exponentially Fitted Variants of the Two-Step Adams-Bashforth Method for the Numerical Integration of Initial Problems

被引：0

作者：

Singh, Gurjinder ^{[1
]}

Kanwar, V. ^{[1
]}

Bhatia, Saurabh ^{[1
]}

机构：

[1] Panjab Univ, Univ Inst Engn & Technol, Chandigarh 160014, India

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2013年 / 8卷 / 02期

关键词：

Ordinary differential equations; Initial value problems; Stability; Osculating curve;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose new variants of the two-step Adams-Bashforth and the one-step Adams-Moulton methods for the numerical integration of ordinary differential equations (ODEs). The methods are constructed geometrically from an exponentially fitted osculating parabola. The accuracy and stability of the proposed variants is discussed and their applicability to some initial value problems is also considered. Numerical experiments demonstrate that the exponentially fitted variants of the two-step Adams-Bashforth and the one-step Adams- Moulton methods outperform the existing classical two-step Adams-Bashforth and one-step Adams-Moulton methods respectively.

引用

页码：741 / 755

页数：15

共 13 条

[1] A collocation formulation of multistep methods for variable step-size extensions [J].