FOUR STAGES SYMMETRIC TWO-STEP P-STABLE METHOD WITH VANISHED PHASE-LAG AND ITS FIRST, SECOND, THIRD AND FOURTH DERIVATIVES

被引：0

作者：

Hui, Fei ^{[1
]}

Simos, Theodore E. ^{[2
,3
]}

机构：

[1] Changan Univ, Sch Informat Engn, Xian, Peoples R China

[2] King Saud Univ, Dept Math, Coll Sci, Riyadh 11451, Saudi Arabia

[3] Univ Peloponnese, Fac Econ Management & Informat, Dept Informat & Telecommun, Lab Computat Sci, GR-22100 Tripolis, Greece

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2016年 / 15卷 / 02期

关键词：

Error Analysis; Stability Analysis; Coupled Differential Equations; Schrodinger equation; INITIAL-VALUE-PROBLEMS; SCHRODINGER-EQUATION; NUMERICAL-SOLUTION; MULTISTEP METHODS; 4-STEP METHODS; HIGH-ORDER; INTEGRATION; SCATTERING;

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 develop a new four-stages symmetric two-step P-Stable tenth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives. For this new two-step method we will investigate the following: the construction of the new family of methods, the local truncation error (LTE) of the new developed method and the error analysis, the stability (interval of periodicity) of the new obtained method using a scalar test equation with frequency different than the frequency of the scalar test equation used for phase-lag analysis (stability analysis), the effectiveness of the new method with application on the coupled differential equations arising from the Schrodinger equation.

引用

页码：220 / 238

页数：19

共 37 条

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