An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials

作者：Liu, Jianping^*; Li, Xia; Wu, Limeng

来源：Advances in Mathematical Physics, 2016, 2016: 6345978.

DOI：10.1155/2016/6345978

• DIFFUSION EQUATION
• NUMERICAL-SOLUTION
• MODEL

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.

• 出版日期2016
• 单位河北科技师范学院