Orthonormal Bernoulli wavelets neural network method and its application in astrophysics
DOI10.1007/s40314-021-01475-wzbMath1476.62206OpenAlexW3135035022MaRDI QIDQ1983927
Yadollah Ordokhani, Parisa Rahimkhani
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01475-w
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Neural nets and related approaches to inference from stochastic processes (62M45)
Related Items (6)
Cites Work
- Laguerre polynomial approach for solving Lane-Emden type functional differential equations
- Chebyshev neural network based model for solving Lane-Emden type equations
- An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems
- 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
- Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation
- An analytic algorithm of Lane-Emden type equations arising in astrophysics using modified homotopy analysis method
- Solutions of a class of singular second-order IVPs by homotopy-perturbation method
- 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
- Legendre wavelets method for solving differential equations of Lane-Emden type
- Numerical solution for high order differential equations using a hybrid neural network-optimization method
- Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
- Solutions of Emden-Fowler equations by homotopy-perturbation method
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- Wavelet collocation method for optimal control problems
- The numerical solution of linear ordinary differential equations by feedforward neural networks
- Solution of nonlinear ordinary differential equations by feedforward neural networks
- A new analytic algorithm of Lane--Emden type equations
- Solving differential equations of fractional order using an optimization technique based on training artificial neural network
- Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
- A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method
- On artificial neural networks approach with new cost functions
- Fractional-order Bernoulli wavelets and their applications
- A fast-converging recursive approach for Lane-Emden type initial value problems arising in astrophysics
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Analysis of multi-delay and piecewise constant delay systems by hybrid functions approximation
- Solution of Lane-Emden type equations using rational Bernoulli functions
- Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation
- Nonperturbative approximate solution for Lane–Emden equation
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
- PICARD-REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GENERALIZED SINGULAR NONLINEAR LANE-EMDEN TYPE EQUATIONS
- Simulation of nonlinear fractional dynamics arising in the modeling of cognitive decision making using a new fractional neural network
- A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations
- Spectral Methods
- A new algorithm for solving differential equations of Lane-Emden type
This page was built for publication: Orthonormal Bernoulli wavelets neural network method and its application in astrophysics