Construction of Implicit-Explicit Second-Derivative BDF Methods

被引：4

作者：

Yousefzadeh, N. ^{[1
]}

Hojjati, G. ^{[1
]}

Abdi, A. ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 04期

关键词：

IMEX methods; Second-derivative multistep methods; SDBDF; Stability properties; Stiff systems; RUNGE-KUTTA METHODS; GENERAL LINEAR METHODS; PARTIAL-DIFFERENTIAL-EQUATIONS; DIFFUSION-REACTION EQUATIONS; MULTISTEP METHODS; STIFF SYSTEMS; STABILITY; SCHEMES;

D O I：

10.1007/s41980-018-0065-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In many applications, large systems of ordinary differential equations with both stiff and nonstiff parts have to be solved numerically. Implicit-explicit (IMEX) methods are useful for efficiently solving these problems. In this paper, we construct IMEX second-derivative BDF methods with considerable stability properties. To show the efficiency of the introduced technique, numerical comparisons are given by solving some problems.

引用

页码：991 / 1006

页数：16

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