Differential transformation method for solving differential equations of Lane-Emden type

DOI10.3390/mca12030135zbMath1175.34007OpenAlexW2395046431MaRDI QIDQ1029506

Vedat Suat Ertürk

Publication date: 13 July 2009

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/mca12030135

zbMATH Keywords

differential transformation methodLane-Emden equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (13)

Solving certain classes of Lane-Emden type equations using the differential transformation method ⋮ A coupled method of Laplace transform and Legendre wavelets for Lane-Emden-type differential equations ⋮ A successive linearization method approach to solve Lane-Emden type of equations ⋮ New analytic solution to the Lane-Emden equation of index 2 ⋮ Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval ⋮ An efficient computational approach to solving singular initial value problems for Lane-Emden type equations ⋮ High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type ⋮ An implicit series solution for a boundary value problem modelling a thermal explosion ⋮ Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation ⋮ An elegant exact solutions for the Emden-Fowler equations of the first kind ⋮ DIFFERENTIAL TRANSFORM APPLIED TO CERTAIN ODE ⋮ Noether-like operators and first integrals for generalized systems of Lane-Emden equations ⋮ On compacton traveling wave solutions of Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation

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