Approximate solution of fractional order Lane-Emden type differential equation by orthonormal Bernoulli's polynomials

DOI10.1007/s40819-019-0677-0zbMath1416.65198OpenAlexW2947243530WikidataQ115372377 ScholiaQ115372377MaRDI QIDQ2001803

Yanyan Li

Publication date: 11 July 2019

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

Full work available at URL: https://doi.org/10.1007/s40819-019-0677-0

zbMATH Keywords

fractional calculusLane-Emden equationsorthonormalBernoulli's polynomials

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (7)

Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation ⋮ Generalized Bernoulli-Laguerre polynomials: applications in coupled nonlinear system of variable-order fractional PDEs ⋮ Numerical simulation of variable-order fractional differential equation of nonlinear Lane-Emden type appearing in astrophysics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations

Cites Work

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• Numerical solution of fractional differential equations using the generalized block pulse operational matrix
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• Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions
• A New Approach to Bernoulli Polynomials
• A new algorithm for solving differential equations of Lane-Emden type
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