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Fractional-order Riccati differential equation: Analytical approximation and numerical results

2013; Springer Nature; Volume: 2013; Issue: 1 Linguagem: Inglês

10.1186/1687-1847-2013-185

1687-1847

Najeeb Alam Khan, Asmat Ara, Nadeem Alam Khan,

Iterative Methods for Nonlinear Equations

The aim of this article is to introduce the Laplace-Adomian-Padé method (LAPM) to the Riccati differential equation of fractional order. This method presents accurate and reliable results and has a great perfection in the Adomian decomposition method (ADM) truncated series solution which diverges promptly as the applicable domain increases. The approximate solutions are obtained in a broad range of the problem domain and are compared with the generalized Euler method (GEM). The comparison shows a precise agreement between the results, the applicable one of which needs fewer computations.