WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Solution of Nonlinear Riccati Differential Equation using Chebyshev Wavelets
Author:
Abstract: A generalized Chebyshev wavelet operational matrix (CWOM) is presented for the solution of nonlin- ear Riccati differential equations. The operational matrix together with suitable collocation points converts the fractional order Riccati differential equations into a system of algebraic equations. Accuracy and efficiency of the proposed method is verified through numerical examples and comparison with the recently developed approaches. The obtained results reveal that the performance of the proposed method is more accurate and reliable.