A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly

Joint Authors

Waeleh, Nazreen
Abdul Majid, Zanariah

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-07-28

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

An alternative block method for solving fifth-order initial value problems (IVPs) is proposed with an adaptive strategy of implementing variable step size.

The derived method is designed to compute four solutions simultaneously without reducing the problem to a system of first-order IVPs.

To validate the proposed method, the consistency and zero stability are also discussed.

The improved performance of the developed method is demonstrated by comparing it with the existing methods and the results showed that the 4-point block method is suitable for solving fifth-order IVPs.

American Psychological Association (APA)

Waeleh, Nazreen& Abdul Majid, Zanariah. 2016. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1106335

Modern Language Association (MLA)

Waeleh, Nazreen& Abdul Majid, Zanariah. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1106335

American Medical Association (AMA)

Waeleh, Nazreen& Abdul Majid, Zanariah. A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1106335

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1106335