Optimized Fourth-Order Runge-Kutta Method for Solving Oscillatory Problems

被引：3

作者：

Hussain, Kasim ^{[1
,2
]}

Ismail, Fudziah ^{[1
,3
]}

Senu, Norazak ^{[1
,3
]}

Rabiei, Faranak ^{[1
,3
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Selangor, Malaysia

[2] Al Mustansiriyah Univ, Dept Math, Coll Sci, Baghdad, Iraq

[3] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia

来源：

INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016) | 2016年 / 1739卷

关键词：

INITIAL-VALUE PROBLEMS; NUMERICAL-SOLUTION; SCHRODINGER-EQUATION; NYSTROM METHOD; PHASE-LAG; ORBITAL PROBLEMS; 2ND-ORDER;

D O I：

10.1063/1.4952512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numerical tests from its implementation to well-known oscillatory problems illustrate the robustness and competence of the new method as compared to the well-known Runge-Kutta methods in the scientific literature.

引用

页数：6

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