@Article{NMTMA-11-383,
author = {Li Zou, Songxin Liang, Yuan Gao and David J. Jeffrey},
title = {Selection of Bases in Operational Calculus and Its Applications},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {2},
pages = {383--397},
abstract = {<p style="text-align: justify;">In this article, we present a new method for selecting a base that corresponds to the modified left shift operator in operational calculus. The method is illustrated by Emden-Fowler equation and differential equations with variable coefficients. The method, combined with Pade approximant, is also applied to solve a differential-difference equation which was solved by the Adomian decomposition method. Since the new method does not involve integrals, it is more efficient than the one in the literature.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2017-0071},
url = {http://global-sci.org/intro/article_detail/nmtma/12435.html}
}