컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0535 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Numerical Analysis / Scientific Computations / Mathematics in Science and Technology (SS-14) |
| 영문제목 (Title(Eng.)) |
[CANCELLED] A new four-stage sixth order Runge-Kutta method for directly solving special third order ordinary differential equations |
| 저자(Author(s)) |
Mohammed S. Machee1, Fudziah Ismail2, Norazak Senu2 Institute of Mathematical Sciences, Universty of Malaya, 50603 Kuala Lumpur, Malaysia1, Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia 2 |
| 초록본문(Abstract) | In this research, order conditions of Runge-Kutta method for directly solving special third order ordinary differential equations are derived. Based on this order conditions a new four-stage sixth order Runge-Kutta method for the integration of the special third order problem is constructed. The zero-stability of the method is proven. A set of test problems is solved using the new method and comparisons are made when the same set of problems is reduced to a first order systems of equations which are solved using existing Runge-Kutta method. Numerical results have clearly shown the advantage and the efficiency of the new method. |
| 분류기호 (MSC number(s)) |
65L06 |
| 키워드(Keyword(s)) | Runge-Kutta method, special third order, differential equation |
| 강연 형태 (Language of Session (Talk)) |
English |