Approximate analytical solutions generalized Lane-Emden-Fowler equations

DOI10.7546/giq-21-2020-302-309zbMath1493.34087OpenAlexW3092062537MaRDI QIDQ1980290

Daniel M. Dantchev, Vassil M. Vassilev, Svilen I. Popov

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-302-309

zbMATH Keywords

series expansionVolterra integral equationsapproximate analytical solutionsLane-Emden-Fowler equationHe's homotopy perturbation techniquePicard's method of successive approximations

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) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Volterra integral equations (45D05)

Cites Work

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• Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
• Homotopy perturbation technique
• Analytical results for the Casimir force in a Ginzburg-Landau type model of a film with strongly adsorbing competing walls
• Exact results for the temperature-field behavior of the Ginzburg–Landau Ising type mean-field model
• Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption
• Cylindrical equilibrium shapes of fluid membranes
• Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures

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