Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 383-397.
Published online: 2018-11
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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} }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.