Numerical derivative using the piecewise uniform mesh

Other Title(s)

الاشتقاق العددي باستخدام الشبكات الاعتيادية جزئيا

Author

Muhammad, Rafiq Salih

Source

Kirkuk University Journal-Scientific Studies

Issue

Vol. 13, Issue 3 (30 Sep. 2018), pp.135-153, 19 p.

Publisher

Kirkuk University College of Science

Publication Date

2018-09-30

Country of Publication

Iraq

No. of Pages

19

Main Subjects

Engineering Sciences and Information Technology

Abstract EN

In this paper, a technique of a piecewise-uniform meshes formed on an improvement finite difference algorithm for finding derivatives of functions.

The purpose was to overcome difficulties which face numerical derivatives of functions with stiff formula, the main idea is that the formula includes some terms that can lead to rapid variation in the graph of the functions, which have recently been named singular layers in numerical analysis.

The fundamental numerical difficulty is related to non-physical oscillations of the solution (instability) when the formula of the function dominates over the formula of its derivatives, this is a characteristic of many fluid flow problems.

The use of Shishkin mesh to find derivatives of arbitrary degree and order is the novelty of this paper.

The method was applied to find derivatives of some examples until third order and the results were compared with a previous study, mentioned in the paper, to derive the functions numerically.

American Psychological Association (APA)

Muhammad, Rafiq Salih. 2018. Numerical derivative using the piecewise uniform mesh. Kirkuk University Journal-Scientific Studies،Vol. 13, no. 3, pp.135-153.
https://search.emarefa.net/detail/BIM-946133

Modern Language Association (MLA)

Muhammad, Rafiq Salih. Numerical derivative using the piecewise uniform mesh. Kirkuk University Journal-Scientific Studies Vol. 13, no. 3 (Sep. 2018), pp.135-153.
https://search.emarefa.net/detail/BIM-946133

American Medical Association (AMA)

Muhammad, Rafiq Salih. Numerical derivative using the piecewise uniform mesh. Kirkuk University Journal-Scientific Studies. 2018. Vol. 13, no. 3, pp.135-153.
https://search.emarefa.net/detail/BIM-946133

Data Type

Journal Articles

Language

English

Notes

Record ID

BIM-946133