TY - JOUR
T1 - Selection of Bases in Operational Calculus and Its Applications
AU - Li Zou, Songxin Liang, Yuan Gao & David J. Jeffrey
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 383
EP - 397
PY - 2018
DA - 2018/11
SN - 11
DO - http://doi.org/10.4208/nmtma.OA-2017-0071
UR - https://global-sci.org/intro/article_detail/nmtma/12435.html
KW - 
AB - <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>