CAS Picard method for fractional nonlinear differential equation. (English) Zbl 1411.65102
Summary: In this paper, a computational method for solving the fractional nonlinear differential equation is introduced. We proposed a method by utilizing the CAS wavelets in conjunction with Picard technique. We call the method as CAS Picard method. The fractional nonlinear differential equations are transformed into a system of discrete fractional differential equations by Picard technique and then transformed into a system of algebraic equations by using the operational matrices of CAS wavelets. The error and supporting analysis of the method are also investigated. The comparison analysis of method with other existing numerical methods is also performed.
MSC:
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
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