Numerical solution of fractional cable equation via extended cubic B-spline

Tayyaba Akram; Muhammad Abbas; Ahmad Izani Ismail

doi:10.1063/1.5121041

Numerical solution of fractional cable equation via extended cubic B-spline

Tayyaba Akram^*, Muhammad Abbas, Ahmad Izani Ismail

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

16 Scopus citations

Abstract

A numerical method based on the finite difference method and an extended cubic B-spline (ECB) is generated to handle the Fractional differential equation (FCE). Extended cubic B-spline is used to discretize the space derivatives with the Grünwald-Letnikov formulation for the Riemann-Liouville derivative. The stability analysis of the proposed method has also been analyzed. Numerical example support the theoretical results and show that the proposed scheme is simple and accurate.

Original language	English
Title of host publication	4th Innovation and Analytics Conference and Exhibition, IACE 2019
Editors	Haslinda Ibrahim, Abdul Malek Yaakob, Nazrina Aziz, Jafri Zulkepli
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735418813
DOIs	https://doi.org/10.1063/1.5121041
State	Published - 21 Aug 2019
Externally published	Yes
Event	4th Innovation and Analytics Conference and Exhibition, IACE 2019 - Kedah, Malaysia Duration: 25 Mar 2019 → 28 Mar 2019

Publication series

Name	AIP Conference Proceedings
Volume	2138
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th Innovation and Analytics Conference and Exhibition, IACE 2019
Country/Territory	Malaysia
City	Kedah
Period	25/03/19 → 28/03/19

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.5121041

Cite this

Akram, T., Abbas, M., & Ismail, A. I. (2019). Numerical solution of fractional cable equation via extended cubic B-spline. In H. Ibrahim, A. M. Yaakob, N. Aziz, & J. Zulkepli (Eds.), 4th Innovation and Analytics Conference and Exhibition, IACE 2019 Article 030004 (AIP Conference Proceedings; Vol. 2138). American Institute of Physics Inc.. https://doi.org/10.1063/1.5121041

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title = "Numerical solution of fractional cable equation via extended cubic B-spline",

abstract = "A numerical method based on the finite difference method and an extended cubic B-spline (ECB) is generated to handle the Fractional differential equation (FCE). Extended cubic B-spline is used to discretize the space derivatives with the Gr{\"u}nwald-Letnikov formulation for the Riemann-Liouville derivative. The stability analysis of the proposed method has also been analyzed. Numerical example support the theoretical results and show that the proposed scheme is simple and accurate.",

author = "Tayyaba Akram and Muhammad Abbas and Ismail, \{Ahmad Izani\}",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; 4th Innovation and Analytics Conference and Exhibition, IACE 2019 ; Conference date: 25-03-2019 Through 28-03-2019",

year = "2019",

month = aug,

day = "21",

doi = "10.1063/1.5121041",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

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Akram, T, Abbas, M & Ismail, AI 2019, Numerical solution of fractional cable equation via extended cubic B-spline. in H Ibrahim, AM Yaakob, N Aziz & J Zulkepli (eds), 4th Innovation and Analytics Conference and Exhibition, IACE 2019., 030004, AIP Conference Proceedings, vol. 2138, American Institute of Physics Inc., 4th Innovation and Analytics Conference and Exhibition, IACE 2019, Kedah, Malaysia, 25/03/19. https://doi.org/10.1063/1.5121041

Numerical solution of fractional cable equation via extended cubic B-spline. / Akram, Tayyaba; Abbas, Muhammad; Ismail, Ahmad Izani.
4th Innovation and Analytics Conference and Exhibition, IACE 2019. ed. / Haslinda Ibrahim; Abdul Malek Yaakob; Nazrina Aziz; Jafri Zulkepli. American Institute of Physics Inc., 2019. 030004 (AIP Conference Proceedings; Vol. 2138).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Akram, Tayyaba

AU - Abbas, Muhammad

AU - Ismail, Ahmad Izani

PY - 2019/8/21

Y1 - 2019/8/21

N2 - A numerical method based on the finite difference method and an extended cubic B-spline (ECB) is generated to handle the Fractional differential equation (FCE). Extended cubic B-spline is used to discretize the space derivatives with the Grünwald-Letnikov formulation for the Riemann-Liouville derivative. The stability analysis of the proposed method has also been analyzed. Numerical example support the theoretical results and show that the proposed scheme is simple and accurate.

AB - A numerical method based on the finite difference method and an extended cubic B-spline (ECB) is generated to handle the Fractional differential equation (FCE). Extended cubic B-spline is used to discretize the space derivatives with the Grünwald-Letnikov formulation for the Riemann-Liouville derivative. The stability analysis of the proposed method has also been analyzed. Numerical example support the theoretical results and show that the proposed scheme is simple and accurate.

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M3 - Conference contribution

AN - SCOPUS:85071607961

T3 - AIP Conference Proceedings

BT - 4th Innovation and Analytics Conference and Exhibition, IACE 2019

A2 - Ibrahim, Haslinda

A2 - Yaakob, Abdul Malek

A2 - Aziz, Nazrina

A2 - Zulkepli, Jafri

PB - American Institute of Physics Inc.

T2 - 4th Innovation and Analytics Conference and Exhibition, IACE 2019

Y2 - 25 March 2019 through 28 March 2019

ER -

Numerical solution of fractional cable equation via extended cubic B-spline

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

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Cite this