A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval

    Authors

    E. H. Doha; A. H. Bhrawy; R. M. Hafez;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Comput. Appl. Math.

    Keywords

    OPERATIONAL MATRIX; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD; 2ND; KIND; ALGORITHM; ORDER; Mathematics, Applied

    Abstract

    We derive an operational matrix representation for the differentiation of Jacobi rational functions, which is used to create a new Jacobi rational pseudo spectral method based on the operational matrix of Jacobi rational functions. This Jacobi rational pseudospectral method is implemented to approximate solutions to Lane-Emden type equations on semi-infinite intervals. The advantages of using the Jacobi rational pseudospectral method over other techniques are discussed. Indeed, through several numerical examples, including the Lane-Emden problems of first and second kind, we evaluate the accuracy and performance of the proposed method. We also compare our method to other approaches in the literature. The results suggest that the Jacobi rational pseudospectral method is a useful tool for studying Lane-Emden initial value problems, as well as related problems which have regular singular points and are nonlinear.

    Journal Title

    Computational & Applied Mathematics

    Volume

    33

    Issue/Number

    3

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    607

    Last Page

    619

    WOS Identifier

    WOS:000346924600007

    ISSN

    0101-8205

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