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EnglishA new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the fractional population growth model of a species within a closed system.The main characteristic of the new approach is to convert the problem under study to a nonlinear algebraic equation.
http://hdl.handle.net/11386/4123458| Titolo: | Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System |
| Autori interni: | CATTANI, Carlo |
| Data di pubblicazione: | 2013 |
| Rivista: | MATHEMATICAL PROBLEMS IN ENGINEERING |
| Abstract: | A new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the fractional population growth model of a species within a closed system.The main characteristic of the new approach is to convert the problem under study to a nonlinear algebraic equation. |
| Handle: | http://hdl.handle.net/11386/4123458 |
| Appare nelle tipologie: | 1.1.1 Articolo su rivista con DOI |
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