NUMERICAL SOLUTIONS OF SINGULAR INITIAL VALUE PROBLEMS IN THE SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS USING HYBRID ORTHONORMAL BERNSTEIN AND BLOCK-PULSE FUNCTIONS
DOI10.21608/JOEMS.2018.9471zbMath1431.65123OpenAlexW2909376808MaRDI QIDQ5217242
Adel R. Hadhoud, Mohamed A. Ramadan, Mohamed R. Ali
Publication date: 24 February 2020
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21608/joems.2018.9471
convergence analysisLane-Emden equationGaussian integrationshybrid orthonormal Bernstein and block-pulse functions
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Cites Work
- Unnamed Item
- Haar wavelet approximate solutions for the generalized Lane-Emden equations arising in astrophysics
- An efficient method for solving Emden-Fowler equations
- Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering
- An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
- Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
- Solutions of Emden-Fowler equations by homotopy-perturbation method
- Solutions of singular IVPs of Lane-Emden type by the variational iteration method
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
- A new method for solving singular initial value problems in the second-order ordinary differential equations
- Hierarchical stochastic gradient algorithm and its performance analysis for a class of bilinear-in-parameter systems
- Recursive least squares and multi-innovation stochastic gradient parameter estimation methods for signal modeling
- Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions
- Analytical solution for the time-dependent Emden--Fowler type of equations by Adomian decomposition method
- On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
- An elegant exact solutions for the Emden-Fowler equations of the first kind
- Bernstein polynomials method for numerical solutions of integro-differential form of the singular Emden-Fowler initial value problems
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