Abstract
Although spectral methods such as Galerkin and Tau meth- ods do not work well for solving ordinary differential equations in which, at least, one of the coefficient functions or solution function is not ana- lytic (1), but it is shown that the Legendre wavelet Galerkin method is suitable for solving some kind of these problems (4). In this study we use the extended Legendre wavelet basis and Tau method for solving a wide range of singular boundary value problems. The convergence properties and error analysis of the proposed method are investigated. A compar- ison between the standard Legendre wavelets and extended Legendre wavelets methods shows the capability of the proposed method. AMS Subject Classification: 65Txx; 65L10
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