Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems

M. H T Alshbool, Ishak Hashim

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems. The MB-polynomials is a simple reliable modification based on adapting standard Bernstein polynomials method. The procedure of the method is explained briefly and supported with illustrative examples to demonstrate the validity of the method. The results of MB-polynomials are compared with the traditional Bernstein polynomials method and several other methods that solved stiff systems. The results attest to the efficiency of the proposed method.

Original languageEnglish
JournalJournal of King Saud University - Science
DOIs
Publication statusAccepted/In press - 24 Jan 2015
Externally publishedYes

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Polynomials

Keywords

  • Fractional Order Stiff Systems
  • Multistage Bernstein polynomials

ASJC Scopus subject areas

  • General

Cite this

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abstract = "In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems. The MB-polynomials is a simple reliable modification based on adapting standard Bernstein polynomials method. The procedure of the method is explained briefly and supported with illustrative examples to demonstrate the validity of the method. The results of MB-polynomials are compared with the traditional Bernstein polynomials method and several other methods that solved stiff systems. The results attest to the efficiency of the proposed method.",
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AU - Hashim, Ishak

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N2 - In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems. The MB-polynomials is a simple reliable modification based on adapting standard Bernstein polynomials method. The procedure of the method is explained briefly and supported with illustrative examples to demonstrate the validity of the method. The results of MB-polynomials are compared with the traditional Bernstein polynomials method and several other methods that solved stiff systems. The results attest to the efficiency of the proposed method.

AB - In this paper, a new modification of the Bernstein polynomials method called Multistage Bernstein polynomials (MB-polynomials) is applied to solve new topic, which is Fractional Order Stiff Systems. The MB-polynomials is a simple reliable modification based on adapting standard Bernstein polynomials method. The procedure of the method is explained briefly and supported with illustrative examples to demonstrate the validity of the method. The results of MB-polynomials are compared with the traditional Bernstein polynomials method and several other methods that solved stiff systems. The results attest to the efficiency of the proposed method.

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