@Article{NMTMA-11-383, author = {}, 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 = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2017-0071}, url = {http://global-sci.org/intro/article_detail/nmtma/12435.html} }