Solution of nonlinear Riccati differential equation using Chebyshev wavelets
نویسنده
چکیده
A generalized Chebyshev wavelet operational matrix (CWOM) is presented for the solution of nonlinear 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. Key–Words: Riccati equation, Nonlinear ODE, Chebyshev wavelet, convergence, operational matrix.
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