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381082

Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor

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Last updated: 05 Jan 2025

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Abstract

Non-polynomial spline functions of the form Span{1, x, x2; x3; x4; x5; cosðkxÞ þ exg,
where k can be real or pure imaginary, are used to find the numerical solution of linear fifth-order
boundary value problems. The order of convergence of the method is observed to be of Oðh2
Þ. A
fifth order convergent method is defined with the help of improved end-conditions. Three examples
are considered to show the reliability and efficiency of the method. The numerical results, obtained,
endorse the improved order of convergence of the method.

DOI

10.1016/j.joems.2014.01.003

Keywords

Non-polynomial spline functions, numerical solution, Fifth-order boundary value problem

Authors

First Name

Shahid S.

Last Name

Siddiqi

MiddleName

-

Affiliation

Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan

Email

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City

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Orcid

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First Name

Maasoomah

Last Name

Sadaf

MiddleName

-

Affiliation

Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan

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Orcid

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

20

Page End

26

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 20-26.pdf

PDF . 489.7kB

Link

https://joems.journals.ekb.eg/article_381082.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381082

Order

381,082

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor

Details

Type

Article

Created At

21 Dec 2024