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Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains
2015
International Journal of Differential Equations
We combine the Adomian decomposition method (ADM) and Adomian's asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian decomposition method with the far-field approximation derived from Adomian's asymptotic decomposition method for Riccati equations and in such cases when we do not find any region of overlap between the obtained approximate solutions by the two
doi:10.1155/2015/580741
fatcat:ziwjlgd35raodirn7tvafwszyu