Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation

Salah Abuasad, Ishak Hashim

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

2 Citations (Scopus)

Abstract

In this paper, we present the homotopy decomposition method with a modified definition of beta fractional derivative for the first time to find exact solution of one-dimensional time-fractional diffusion equation. In this method, the solution takes the form of a convergent series with easily computable terms. The exact solution obtained by the proposed method is compared with the exact solution obtained by using fractional variational homotopy perturbation iteration method via a modified Riemann-Liouville derivative.

Original languageEnglish
Title of host publication2017 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1940
ISBN (Electronic)9780735416321
DOIs
Publication statusPublished - 4 Apr 2018
Event2017 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 12 Jul 201713 Jul 2017

Other

Other2017 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period12/7/1713/7/17

Fingerprint

iteration
decomposition
perturbation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Abuasad, S., & Hashim, I. (2018). Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium (Vol. 1940). [020126] American Institute of Physics Inc.. https://doi.org/10.1063/1.5028041

Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation. / Abuasad, Salah; Hashim, Ishak.

2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018. 020126.

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

Abuasad, S & Hashim, I 2018, Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation. in 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. vol. 1940, 020126, American Institute of Physics Inc., 2017 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 12/7/17. https://doi.org/10.1063/1.5028041
Abuasad S, Hashim I. Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940. American Institute of Physics Inc. 2018. 020126 https://doi.org/10.1063/1.5028041
Abuasad, Salah ; Hashim, Ishak. / Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation. 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018.
@inproceedings{6de23469a88f4dccad9b6702b8c749c1,
title = "Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation",
abstract = "In this paper, we present the homotopy decomposition method with a modified definition of beta fractional derivative for the first time to find exact solution of one-dimensional time-fractional diffusion equation. In this method, the solution takes the form of a convergent series with easily computable terms. The exact solution obtained by the proposed method is compared with the exact solution obtained by using fractional variational homotopy perturbation iteration method via a modified Riemann-Liouville derivative.",
author = "Salah Abuasad and Ishak Hashim",
year = "2018",
month = "4",
day = "4",
doi = "10.1063/1.5028041",
language = "English",
volume = "1940",
booktitle = "2017 UKM FST Postgraduate Colloquium",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - Homotopy decomposition method for solving one-dimensional time-fractional diffusion equation

AU - Abuasad, Salah

AU - Hashim, Ishak

PY - 2018/4/4

Y1 - 2018/4/4

N2 - In this paper, we present the homotopy decomposition method with a modified definition of beta fractional derivative for the first time to find exact solution of one-dimensional time-fractional diffusion equation. In this method, the solution takes the form of a convergent series with easily computable terms. The exact solution obtained by the proposed method is compared with the exact solution obtained by using fractional variational homotopy perturbation iteration method via a modified Riemann-Liouville derivative.

AB - In this paper, we present the homotopy decomposition method with a modified definition of beta fractional derivative for the first time to find exact solution of one-dimensional time-fractional diffusion equation. In this method, the solution takes the form of a convergent series with easily computable terms. The exact solution obtained by the proposed method is compared with the exact solution obtained by using fractional variational homotopy perturbation iteration method via a modified Riemann-Liouville derivative.

UR - http://www.scopus.com/inward/record.url?scp=85045679401&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045679401&partnerID=8YFLogxK

U2 - 10.1063/1.5028041

DO - 10.1063/1.5028041

M3 - Conference contribution

AN - SCOPUS:85045679401

VL - 1940

BT - 2017 UKM FST Postgraduate Colloquium

PB - American Institute of Physics Inc.

ER -