Using rational logarithmic basis functions to solve singular differential equations

Numerical methods based on polynomial approximation perform poorly when applied to singular initial value problems (IVPs). Hence, we are motivated to derive and implement numerical methods involving non-polynomial basis functions such as logarithmic and rational functions. Specifically, by imbe...

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Bibliographic Details
Main Authors: John J. Garwood, Samuel N. Jato
Format: Article
Language:English
Published: Texas State University 2016-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/23/g1/abstr.html