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An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials
Joint Authors
Liu, Jianping
Li, Xia
Wu, Limeng
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An operational matrix technique is proposed to solve variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials in this paper.
The differential operational matrix and integral operational matrix are derived based on the second kind of Chebyshev polynomials.
Using two types of operational matrixes, the original equation is transformed into the arithmetic product of several dependent matrixes, which can be viewed as an algebraic system after adopting the collocation points.
Further, numerical solution of original equation is obtained by solving the algebraic system.
Finally, several examples show that the numerical algorithm is computationally efficient.
American Psychological Association (APA)
Liu, Jianping& Li, Xia& Wu, Limeng. 2016. An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095871
Modern Language Association (MLA)
Liu, Jianping…[et al.]. An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials. Advances in Mathematical Physics No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1095871
American Medical Association (AMA)
Liu, Jianping& Li, Xia& Wu, Limeng. An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1095871
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095871