An efficient computational approach to solving singular initial value problems for Lane-Emden type equations

DOI10.1016/j.cam.2015.04.045zbMath1329.34033OpenAlexW288672619MaRDI QIDQ492048

Yasir Khan, Zdeněk Šmarda

Publication date: 19 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.04.045

zbMATH Keywords

differential transformation methodLane-Emden equationisothermal gas sphere equationpolytropic equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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

Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions, Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation, Numerical algorithm for nonlinear delayed differential systems of \(n\)th order, High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type, A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane-Emden equations, Bernstein polynomials method for numerical solutions of integro-differential form of the singular Emden-Fowler initial value problems, Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices, Classical Way of Looking at the Lane-Emden Equation, A new semi-analytical approach for numerical solving of cauchy problem for differential equations with delay

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