Solving certain classes of Lane-Emden type equations using the differential transformation method

DOI10.1186/1687-1847-2012-174zbMath1380.34027OpenAlexW2160293078WikidataQ59290913 ScholiaQ59290913MaRDI QIDQ1690836

Zdeněk Šmarda, Zdeněk Svoboda, Yasir Khan

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-174

zbMATH Keywords

seriesdifferential transformation formulasexponential and logarithmic nonlinearities

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (7)

Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays ⋮ Taylor wavelet solution of linear and nonlinear Lane-Emden equations ⋮ Chebyshev wavelet method for numerical solutions of integro-differential form of Lane–Emden type differential equations ⋮ An efficient computational approach to solving singular initial value problems for Lane-Emden type equations ⋮ A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval ⋮ Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method ⋮ Modified differential transform method for solving the model of pollution for a system of lakes

Cites Work

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