An operational matrix method for solving Lane-Emden equations arising in astrophysics
From MaRDI portal
Publication:2931019
DOI10.1002/mma.2969zbMath1299.74181OpenAlexW1963926176MaRDI QIDQ2931019
Publication date: 21 November 2014
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2969
Spectral and related methods applied to problems in solid mechanics (74S25) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
Related Items
An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics ⋮ An optimal computational method for a general class of nonlinear boundary value problems ⋮ A Taylor-Chebyshev approximation technique to solve the \(1D\) and \(2D\) nonlinear Burgers equations ⋮ Numerical solution of Abel equation using operational matrix method with Chebyshev polynomials ⋮ A high accuracy numerical approach for electro-hydrodynamic flow of a fluid in an ion-drag configuration in a circular cylindrical conduit ⋮ An operational matrix method for solving a class of nonlinear Volterra integro-differential equations by operational matrix method ⋮ A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems ⋮ An operational matrix method to solve linear Fredholm-Volterra integro-differential equations with piecewise intervals ⋮ Some algorithms for solving third-order boundary value problems using novel operational matrices of generalized Jacobi polynomials ⋮ An elegant operational matrix based on harmonic numbers: Effective solutions for linear and nonlinear fourth-order two point boundary value problems
Cites Work
- Solution of Lane-Emden type equations using Legendre operational matrix of differentiation
- An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
- An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis method
- On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials
- The solution of high-order nonlinear ordinary differential equations by Chebyshev series
- Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations
- Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
- Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method
- Legendre wavelets method for solving differential equations of Lane-Emden type
- Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
- A new collocation method for solution of mixed linear integro-differential-difference equations
- A new operational matrix for solving fractional-order differential equations
- On the numerical solution of differential equations of Lane-Emden type
- Solutions of singular IVPs of Lane-Emden type by the variational iteration method
- A new analytic algorithm of Lane--Emden type equations
- A generalization of the Lane-Emden equation.
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
- Numerical approximation for singular second order differential equations
- Second order initial value problems of Lane-Emden type
- Nonperturbative approximate solution for Lane–Emden equation
- The Legendre wavelets operational matrix of integration
- A generalization of the Lane–Emden equation
- A practical preconditioner for sparse banded linear systems
- A new algorithm for solving differential equations of Lane-Emden type
