A numerical approach for investigating a special class of fractional Riccati equation

Bothayna S. Kashkari; Muhammed I. Syam

doi:10.1016/j.rinp.2020.103080

A numerical approach for investigating a special class of fractional Riccati equation

Bothayna S. Kashkari, Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation. We generate the algebraic equation by setting ε=0. We divide the interval [0,1] into two sub-intervals which are [0,ζ₀] and [ζ₀,1]. We discuss how to find the best choice of ζ₀. Numerical examples are presented to show that the proposed technique is promising.

Original language	English
Article number	103080
Journal	Results in Physics
Volume	17
DOIs	https://doi.org/10.1016/j.rinp.2020.103080
Publication status	Published - Jun 2020

Keywords

35F31
65L05
FRSP
Finite difference scheme
Reduced problem

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.rinp.2020.103080

Cite this

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title = "A numerical approach for investigating a special class of fractional Riccati equation",

abstract = "A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation. We generate the algebraic equation by setting ε=0. We divide the interval [0,1] into two sub-intervals which are [0,ζ0] and [ζ0,1]. We discuss how to find the best choice of ζ0. Numerical examples are presented to show that the proposed technique is promising.",

keywords = "35F31, 65L05, FRSP, Finite difference scheme, Reduced problem",

author = "Kashkari, {Bothayna S.} and Syam, {Muhammed I.}",

note = "Funding Information: This work was funded by the University of Jeddah, Saudia Arabia, under Grant No. (UJ-02-083-DR). The authors, therefore, acknowledge with thanks the University technical and financial support. Funding Information: This work was funded by the University of Jeddah, Saudia Arabia , under Grant No. ( UJ-02-083-DR ). The authors, therefore, acknowledge with thanks the University technical and financial support. Publisher Copyright: {\textcopyright} 2020 The Authors",

year = "2020",

month = jun,

doi = "10.1016/j.rinp.2020.103080",

language = "English",

volume = "17",

journal = "Results in Physics",

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T1 - A numerical approach for investigating a special class of fractional Riccati equation

AU - Kashkari, Bothayna S.

AU - Syam, Muhammed I.

N1 - Funding Information: This work was funded by the University of Jeddah, Saudia Arabia, under Grant No. (UJ-02-083-DR). The authors, therefore, acknowledge with thanks the University technical and financial support. Funding Information: This work was funded by the University of Jeddah, Saudia Arabia , under Grant No. ( UJ-02-083-DR ). The authors, therefore, acknowledge with thanks the University technical and financial support. Publisher Copyright: © 2020 The Authors

PY - 2020/6

Y1 - 2020/6

N2 - A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation. We generate the algebraic equation by setting ε=0. We divide the interval [0,1] into two sub-intervals which are [0,ζ0] and [ζ0,1]. We discuss how to find the best choice of ζ0. Numerical examples are presented to show that the proposed technique is promising.

AB - A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation. We generate the algebraic equation by setting ε=0. We divide the interval [0,1] into two sub-intervals which are [0,ζ0] and [ζ0,1]. We discuss how to find the best choice of ζ0. Numerical examples are presented to show that the proposed technique is promising.

KW - 35F31

KW - 65L05

KW - FRSP

KW - Finite difference scheme

KW - Reduced problem

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JO - Results in Physics

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A numerical approach for investigating a special class of fractional Riccati equation

Abstract

Keywords

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