Haar Adomian method for the solution of fractional nonlinear Lane-Emden type equations arising in astrophysics

DOI10.11650/tjm/7969zbMath1446.65044OpenAlexW2741271914MaRDI QIDQ1750729

Umer Saeed

Publication date: 23 May 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1501599188

zbMATH Keywords

Lane-Emden type equationsHaar waveletAdomian's polynomialsoperational matrices

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications to the sciences (65Z05) Fractional ordinary differential equations (34A08)

Related Items (6)

Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations ⋮ Unnamed Item ⋮ Sine–cosine wavelets operational matrix method for fractional nonlinear differential equation ⋮ Polynomial least squares method for fractional Lane-Emden equations ⋮ Unnamed Item

Cites Work

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• An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
• The Legendre wavelet method for solving initial value problems of Bratu-type
• An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
• Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation
• Solution to the linear fractional differential equation using Adomian decomposition method
• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• Solutions of a class of singular second-order IVPs by homotopy-perturbation method
• Solving PDEs with the aid of two-dimensional Haar wavelets
• Application of generalized differential transform method to multi-order fractional differential equations
• Haar wavelet-quasilinearization technique for fractional nonlinear differential equations
• A new operational matrix for solving fractional-order differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition
• Partial differential equations and solitary waves theory
• Variational iteration method for fractional heat- and wave-like equations
• Wavelet-Galerkin quasilinearization method for nonlinear boundary value problems
• Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
• Convergence of Adomian's Method
• Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions
• Orthonormal bases of compactly supported wavelets
• Haar wavelet method for solving lumped and distributed-parameter systems
• Legendre wavelets method for constrained optimal control problems

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