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23309

NUMERICAL TREATMENT OF FIRST ORDER MATRIX DIFFERENTIAL EQUATIONS USING DIFFERENT CUBIC B-SPLINE FUNCTIONS

Article

Last updated: 22 Jan 2023

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Abstract

The aim of the present paper is to present numerical treatments for solving Sylvester and Riccati matrix di erential
equations of rst order with polynomial, exponential and trigonometric cubic B-spline methods. Exactness and accuracy of
the proposed methods are illustrated by calculating the maximum errors. The results of numerical experiments shown by
these methods are convenient to be implemented and e ective numerical technique for solving matrix di erential equation

DOI

10.21608/joems.2018.2625.1014

Keywords

Sylvester matrix di erential equations, Riccati matrix di erential equations, Polynomial cubic B-spline

Authors

First Name

K.

Last Name

Raslan

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Affiliation

Faculty of Science, Al-Azhar University, Cairo, Egypt

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First Name

A.

Last Name

Hadhoud

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Affiliation

Faculty of Science, Menou a University, Shebein El-Koom, Egypt

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First Name

M.

Last Name

Shaalan

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Affiliation

Higher Technological Institute, Tenth of Ramadan City, Egypt

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Volume

26

Article Issue

2

Related Issue

4360

Issue Date

2018-04-01

Receive Date

2018-03-18

Publish Date

2018-04-01

Page Start

269

Page End

277

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_23309.html

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https://joems.journals.ekb.eg/service?article_code=23309

Order

5

Type

Original Article

Type Code

485

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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Article

Created At

22 Jan 2023