TY  - EJOU
AU  - Wang, Lifeng 
AU  - Ma, Yunpeng 
AU  - Meng, Zhijun 
AU  - Huang, Jun 

TI  - Wavelet operational matrix method for solving fractional integral and differential equations of Bratu-type
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2013
VL  - 92
IS  - 4
SN  - 1526-1506

AB  - In this paper, a wavelet operational matrix method based on the second kind Chebyshev wavelet is proposed to solve the fractional integral and differential equations of Bratu-type. The second kind Chebyshev wavelet operational matrix of fractional order integration is derived. A truncated second kind Chebyshev wavelet series together with the wavelet operational matrix is utilized to reduce the fractional integral and differential equations of Bratu-type to a system of nonlinear algebraic equations. The convergence and the error analysis of the method are also given. Two examples are included to verify the validity and applicability of the proposed approach.
KW  - Fractional Bratu-type equations
KW  -  the second kind Chebyshev wavelet
KW  -  operational matrix
KW  -  uniqueness
KW  -  convergence
KW  -  error analysis
KW  -  numerical solution

DO  - 10.3970/cmes.2013.092.353