Numerical solution of distributed order fractional differential equations by hybrid functions
S Mashayekhi, M Razzaghi - Journal of computational physics, 2016 - Elsevier
In this paper, a new numerical method for solving the distributed fractional differential
equations is presented. The method is based upon hybrid functions approximation. The …
equations is presented. The method is based upon hybrid functions approximation. The …
A single layer fractional orthogonal neural network for solving various types of Lane–Emden equation
Lane–Emden equation is an important nonlinear singular second order differential equation
which can express various phenomena in astrophysics. On the other hand, by growing …
which can express various phenomena in astrophysics. On the other hand, by growing …
A new Taylor series based numerical method: Simple, reliable, and promising
Taylor series method is a simple analytical method, which is accessible to all non-
mathematician, has slow convergence. This paper develops a new Taylor series based …
mathematician, has slow convergence. This paper develops a new Taylor series based …
GEPINN: An innovative hybrid method for a symbolic solution to the Lane-Emden type equation based on grammatical evolution and physics-informed neural …
HD Mazraeh, K Parand - Astronomy and Computing, 2024 - Elsevier
In this paper, we present an innovative and powerful combination of grammatical evolution
and a physics-informed neural network approach for symbolically solving the Lane-Emden …
and a physics-informed neural network approach for symbolically solving the Lane-Emden …
Learning nonlinear dynamics with behavior ordinary/partial/system of the differential equations: looking through the lens of orthogonal neural networks
M Omidi, B Arab, AHH Rasanan, JA Rad… - Engineering with …, 2022 - Springer
Applications of neural network algorithms have been grown in recent years and various
architectures have been introduced by researchers for the purpose of solving different types …
architectures have been introduced by researchers for the purpose of solving different types …
Orthonormal Bernoulli wavelets neural network method and its application in astrophysics
P Rahimkhani, Y Ordokhani - Computational and Applied Mathematics, 2021 - Springer
The purpose of this paper is to present two efficient computational schemes for solving Lane–
Emden type equations based on an artificial neural network. The mentioned neural network …
Emden type equations based on an artificial neural network. The mentioned neural network …
[PDF][PDF] A numerical approach to solve Lane-Emden type equations by the fractional order of rational Bernoulli functions
In this paper, a numerical method based on the hybrid of the quasilinearization method
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …
(QLM) and the collocation method is suggested for solving wellknown nonlinear Lane …
High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane–Emden type
KT Elgindy, HM Refat - Applied Numerical Mathematics, 2018 - Elsevier
We present a novel, high-order, efficient, and exponentially convergent shifted Gegenbauer
integral pseudo-spectral method (SGIPSM) to solve numerically Lane–Emden equations …
integral pseudo-spectral method (SGIPSM) to solve numerically Lane–Emden equations …
Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting
L Xu, M Aouad - Applied Mathematics and Nonlinear Sciences, 2021 - sciendo.com
In order to study the fair value analysis of financial accounting, the Euler wavelet method is
proposed to solve the numerical solutions of a class of Lane-Emden type differential …
proposed to solve the numerical solutions of a class of Lane-Emden type differential …
A New Constructing Rational Functions Method For Solving Lane− Emden Type Equations
J He, Z Zheng, C Du - Neural Processing Letters, 2023 - Springer
In this paper, a new construction machine learning method is proposed based on Rational
Chebyshev polynomials to solve Lane–Emden type differential equations. The method is …
Chebyshev polynomials to solve Lane–Emden type differential equations. The method is …