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      Solution of Lane Emden–Fowler Partial Differential Equations by Taylor
      Series Strategy

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      research-article
        1 ,
      ScienceOpen Preprints
      ScienceOpen
      Taylor series, , Lane Emden-Fowler PDEs, , Lane-Emden type equations.
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            Abstract

            The Taylor series scheme is one of the most primitive analytic-numeric algorithms for exactsolution of initial value problems for deferential equations. Taylor's series technique is a simpleand effective tool for dealing with some PDEs. The main idea of the treatment of thesealgorithms is based on the calculation of higher derivatives using well-known technique for theLane Emden-Fowler PDEs. Therefore, this paper is directed to show this method of solving LaneEmden-Fowler PDEs with singular boundary value problems, we found that this strategy israrely used. The numerical results obtained demonstrate that: this technique is exceptionallysimple and valuable compared to other strategies.

            Content

            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            7 January 2022
            Affiliations
            [1 ] University of Jeddah
            Author notes
            Article
            10.14293/S2199-1006.1.SOR-.PPZP6RC.v1
            703069a2-c28d-4e35-8a99-0befb685ec4e

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            Mathematics
            Taylor series, ,Lane Emden-Fowler PDEs, ,Lane-Emden type equations.

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