The second kind Chebyshev wavelet method for solving fractional differential equations. (English) Zbl 1245.65090
Summary: The second kind Chebyshev wavelet method is presented for solving linear and nonlinear fractional differential equations. We first construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional order integration. The operational matrix of fractional order integration is utilized to reduce the fractional differential equations to system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 65T60 | Numerical methods for wavelets |
Keywords:
fractional calculus; second kind Chebyshev wavelet; fractional order differential equations; operational matrix; block pulse functionReferences:
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