an operational matrix technique for solving variable order fractional differential-integral equation based on the second kind of chebyshev polynomials

Clicks: 110
ID: 238070
2016
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Abstract
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.
Reference Key
liu2016advancesan Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jianping Liu;Xia Li;Limeng Wu
Journal theater
Year 2016
DOI
10.1155/2016/6345978
URL
http://dx.doi.org/10.1155/2016/6345978
Keywords
physics

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