Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations

Mohammad Al Shammari, Mohammed Al-Smadi, Omar Abu Arqub, Ishak Hashim, Mohd Almie Alias

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work, we discuss the numerical approximate solutions for linear Fredholm fuzzy integro-differential equations via applied an influent effective algorithm, which is called the residual power series (RPS) method. The solution approach can be expressed on Taylor's smooth formula, whose convenient coefficients can be computed through their residual functions by creating a system of algebraic equations that may be resolved, numerically. Numerical application is given to demonstrate the ability of the RPS method. The results show the effectiveness of the RPS technique.

Original languageEnglish
Title of host publication2018 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium
EditorsNoor Hayati Ahmad Rasol, Kamarulzaman Ibrahim, Siti Aishah Hasbullah, Mohammad Hafizuddin Hj. Jumali, Nazlina Ibrahim, Marlia Mohd Hanafiah, Mohd Talib Latif
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418431
DOIs
Publication statusPublished - 27 Jun 2019
Event2018 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 4 Apr 20186 Apr 2018

Publication series

NameAIP Conference Proceedings
Volume2111
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2018 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period4/4/186/4/18

Fingerprint

power series
differential equations
methodology
coefficients
method

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Shammari, M. A., Al-Smadi, M., Arqub, O. A., Hashim, I., & Alias, M. A. (2019). Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations. In N. H. A. Rasol, K. Ibrahim, S. A. Hasbullah, M. H. H. Jumali, N. Ibrahim, M. M. Hanafiah, & M. T. Latif (Eds.), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium [020002] (AIP Conference Proceedings; Vol. 2111). American Institute of Physics Inc.. https://doi.org/10.1063/1.5111209

Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations. / Shammari, Mohammad Al; Al-Smadi, Mohammed; Arqub, Omar Abu; Hashim, Ishak; Alias, Mohd Almie.

2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. ed. / Noor Hayati Ahmad Rasol; Kamarulzaman Ibrahim; Siti Aishah Hasbullah; Mohammad Hafizuddin Hj. Jumali; Nazlina Ibrahim; Marlia Mohd Hanafiah; Mohd Talib Latif. American Institute of Physics Inc., 2019. 020002 (AIP Conference Proceedings; Vol. 2111).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shammari, MA, Al-Smadi, M, Arqub, OA, Hashim, I & Alias, MA 2019, Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations. in NHA Rasol, K Ibrahim, SA Hasbullah, MHH Jumali, N Ibrahim, MM Hanafiah & MT Latif (eds), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium., 020002, AIP Conference Proceedings, vol. 2111, American Institute of Physics Inc., 2018 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 4/4/18. https://doi.org/10.1063/1.5111209
Shammari MA, Al-Smadi M, Arqub OA, Hashim I, Alias MA. Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations. In Rasol NHA, Ibrahim K, Hasbullah SA, Jumali MHH, Ibrahim N, Hanafiah MM, Latif MT, editors, 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. American Institute of Physics Inc. 2019. 020002. (AIP Conference Proceedings). https://doi.org/10.1063/1.5111209
Shammari, Mohammad Al ; Al-Smadi, Mohammed ; Arqub, Omar Abu ; Hashim, Ishak ; Alias, Mohd Almie. / Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations. 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. editor / Noor Hayati Ahmad Rasol ; Kamarulzaman Ibrahim ; Siti Aishah Hasbullah ; Mohammad Hafizuddin Hj. Jumali ; Nazlina Ibrahim ; Marlia Mohd Hanafiah ; Mohd Talib Latif. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
@inproceedings{ba05b0e30c9c47398ea34309917e043b,
title = "Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations",
abstract = "In this work, we discuss the numerical approximate solutions for linear Fredholm fuzzy integro-differential equations via applied an influent effective algorithm, which is called the residual power series (RPS) method. The solution approach can be expressed on Taylor's smooth formula, whose convenient coefficients can be computed through their residual functions by creating a system of algebraic equations that may be resolved, numerically. Numerical application is given to demonstrate the ability of the RPS method. The results show the effectiveness of the RPS technique.",
author = "Shammari, {Mohammad Al} and Mohammed Al-Smadi and Arqub, {Omar Abu} and Ishak Hashim and Alias, {Mohd Almie}",
year = "2019",
month = "6",
day = "27",
doi = "10.1063/1.5111209",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Rasol, {Noor Hayati Ahmad} and Kamarulzaman Ibrahim and Hasbullah, {Siti Aishah} and Jumali, {Mohammad Hafizuddin Hj.} and Nazlina Ibrahim and Hanafiah, {Marlia Mohd} and Latif, {Mohd Talib}",
booktitle = "2018 UKM FST Postgraduate Colloquium",

}

TY - GEN

T1 - Adaptation of residual power series method to solve Fredholm fuzzy integro-differential equations

AU - Shammari, Mohammad Al

AU - Al-Smadi, Mohammed

AU - Arqub, Omar Abu

AU - Hashim, Ishak

AU - Alias, Mohd Almie

PY - 2019/6/27

Y1 - 2019/6/27

N2 - In this work, we discuss the numerical approximate solutions for linear Fredholm fuzzy integro-differential equations via applied an influent effective algorithm, which is called the residual power series (RPS) method. The solution approach can be expressed on Taylor's smooth formula, whose convenient coefficients can be computed through their residual functions by creating a system of algebraic equations that may be resolved, numerically. Numerical application is given to demonstrate the ability of the RPS method. The results show the effectiveness of the RPS technique.

AB - In this work, we discuss the numerical approximate solutions for linear Fredholm fuzzy integro-differential equations via applied an influent effective algorithm, which is called the residual power series (RPS) method. The solution approach can be expressed on Taylor's smooth formula, whose convenient coefficients can be computed through their residual functions by creating a system of algebraic equations that may be resolved, numerically. Numerical application is given to demonstrate the ability of the RPS method. The results show the effectiveness of the RPS technique.

UR - http://www.scopus.com/inward/record.url?scp=85068451386&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85068451386&partnerID=8YFLogxK

U2 - 10.1063/1.5111209

DO - 10.1063/1.5111209

M3 - Conference contribution

T3 - AIP Conference Proceedings

BT - 2018 UKM FST Postgraduate Colloquium

A2 - Rasol, Noor Hayati Ahmad

A2 - Ibrahim, Kamarulzaman

A2 - Hasbullah, Siti Aishah

A2 - Jumali, Mohammad Hafizuddin Hj.

A2 - Ibrahim, Nazlina

A2 - Hanafiah, Marlia Mohd

A2 - Latif, Mohd Talib

PB - American Institute of Physics Inc.

ER -