@Article{EAJAM-8-4,
author = {Tao, Sun and Rui-Qing, Liu and Wang, Li-Lian},
title = {Generalised Müntz Spectral Galerkin Methods for Singularly Perturbed Fractional Differential Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {4},
pages = {611--633},
abstract = {<p style="text-align: justify;">A family of orthogonal generalised Müntz-Jacobi functions is introduced and
used for solving singularly perturbed fractional differential equations. Such basis functions
can provide much better approximation for boundary layers or endpoint singularities
than usual polynomial bases. The fractional integrals and derivatives of generalised
Müntz-Jacobi functions are accurately calculated. The corresponding Petrov-Galerkin
and Galerkin methods are very efficient. Numerical examples demonstrate a significant
improvement in the accuracy of the methods.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.050818.071018},
url = {https://global-sci.com/article/82673/generalised-muntz-spectral-galerkin-methods-for-singularly-perturbed-fractional-differential-equations}
}