High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

被引：15

作者：

Shokri, Ali ^{[1
]}

Saadat, Hosein ^{[1
]}

机构：

[1] Univ Maragheh, Fac Basic Sci, Dept Math, Maragheh, Iran

来源：

NUMERICAL ALGORITHMS | 2015年 / 68卷 / 02期

关键词：

Obrechkoff methods; Trigonometrically-fitting; Initial value problems; Symmetric multistep methods; Oscillating solution; SUPER-IMPLICIT METHODS; P-STABLE METHODS; MULTIDERIVATIVE METHODS; MULTISTEP METHODS; INTEGRATION; 1ST-ORDER;

D O I：

10.1007/s11075-014-9847-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present the two-step trigonometrically fitted symmetric Obrechkoff methods with algebraic order of twelve. The method is based on the symmetric two-step Obrechkoff method, with 12 algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.

引用

页码：337 / 354

页数：18

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