Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations
DOI10.46298/cm.9895zbMATH Open1541.65054MaRDI QIDQ6580583
Nasser Aghazadeh, Amir Hossein Mousavi Mohammadi, Ghader Ahmadnezhad
Publication date: 29 July 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
numerical solutionfractional differential equationsecond-kind Chebyshev waveletsquasi-linearizationsingular Lane-Emden equation
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)
Cites Work
- Unnamed Item
- Unnamed Item
- An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
- A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions
- Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets
- An efficient numerical technique for the solution of nonlinear singular boundary value problems
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations
- An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
- Solution to the linear fractional differential equation using Adomian decomposition method
- Homotopy perturbation method for nonlinear partial differential equations of fractional order
- A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method
- The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models
- Application of generalized differential transform method to multi-order fractional differential equations
- Solving a nonlinear fractional differential equation using Chebyshev wavelets
- Higher order method for singular boundary-value problems by using spline function
- Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition
- Solutions of singular IVPs of Lane-Emden type by the variational iteration method
- Partial differential equations and solitary waves theory
- Variational iteration method for fractional heat- and wave-like equations
- Pointwise bounds for a nonlinear heat conduction model of the human head
- Spline finite difference methods for singular two point boundary value problems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- One-dimensional adaptive grid generation
- A numerical method for singular two point boundary value problems via Chebyshev eco\-no\-mi\-zi\-tion.
- Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions
- Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
- Haar Adomian method for the solution of fractional nonlinear Lane-Emden type equations arising in astrophysics
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
- Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method
- Projection methods and singular two point boundary value problems
- Wavelet operational matrix method for solving the Riccati differential equation
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
- B-spline method for a class of singular two-point boundary value problems using optimal grid
- Cubic spline polynomial for non-linear singular two-point boundary value problems
- Haar wavelet method for solving fractional partial differential equations numerically
- Generalized differential transform method: Application to differential equations of fractional order
- Analytical solution for the time-dependent Emden--Fowler type of equations by Adomian decomposition method
- Numerical solution of singular boundary value problems using Green's function and improved decomposition method
- On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- Cubic spline for a class of singular two-point boundary value problems
- On the Singularities of the Emden–Fowler Type Equations
- Numerical Methods for Singular Boundary Value Problems
- A Finite-difference Method for a Class of Singular Two-point Boundary-value Problems
- Chebyshev finite difference method for Fredholm integro-differential equation
- A different approach for solving singular two‐point boundary value problems
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
- Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane‐Emden equations of the first and second kinds
This page was built for publication: Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations