TY - EJOU
AU - Wang, Jinsheng
AU - Liu, Liqing
AU - Chen, Yiming
AU - Liu, Lechun
AU - Liu, Dayan
TI - Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials
T2 - Computer Modeling in Engineering \& Sciences
PY - 2015
VL - 104
IS - 1
SN - 1526-1506
AB - The aim of this paper is to seek the numerical solution of a class of variable order fractional integral-differential equation in terms of Bernstein polynomials. The fractional derivative is described in the Caputo sense. Four kinds of operational matrixes of Bernstein polynomials are introduced and are utilized to reduce the initial equation to the solution of algebraic equations after dispersing the variable. By solving the algebraic equations, the numerical solutions are acquired. The method in general is easy to implement and yields good results. Numerical examples are provided to demonstrate the validity and applicability of the method.
KW - Bernstein polynomials
KW - variable order fractional integral-differential equation
KW - operational matrix
KW - numerical solution
KW - convergence analysis
KW - the absolute error
DO - 10.3970/cmes.2015.104.069