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 language | English |
|---|---|
| Journal | Journal of King Saud University - Science |
| DOIs | |
| Publication status | Accepted/In press - 24 Jan 2015 |
| Externally published | Yes |
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Keywords
- Fractional Order Stiff Systems
- Multistage Bernstein polynomials
ASJC Scopus subject areas
- General
Cite this
Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems. / Alshbool, M. H T; Hashim, Ishak.
In: Journal of King Saud University - Science, 24.01.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Multistage Bernstein polynomials for the solutions of the Fractional Order Stiff Systems
AU - Alshbool, M. H T
AU - Hashim, Ishak
PY - 2015/1/24
Y1 - 2015/1/24
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.
KW - Fractional Order Stiff Systems
KW - Multistage Bernstein polynomials
UR - http://www.scopus.com/inward/record.url?scp=84934301646&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84934301646&partnerID=8YFLogxK
U2 - 10.1016/j.jksus.2015.06.001
DO - 10.1016/j.jksus.2015.06.001
M3 - Article
AN - SCOPUS:84934301646
JO - Journal of King Saud University - Science
JF - Journal of King Saud University - Science
SN - 1018-3647
ER -