Design of neural network with Levenberg-Marquardt and Bayesian regularization backpropagation for solving pantograph delay differential equations
In this paper, novel computing paradigm by exploiting the strength of feed-forward artificial
neural networks (ANNs) with Levenberg-Marquardt Method (LMM), and Bayesian …
neural networks (ANNs) with Levenberg-Marquardt Method (LMM), and Bayesian …
Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model
The aim of this study is to design a singular fractional order pantograph differential model by
using the typical form of the Lane-Emden model. The necessary details of the singular-point …
using the typical form of the Lane-Emden model. The necessary details of the singular-point …
Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models
The aim of this study is to design a layer structure of feed-forward artificial neural networks
using the Morlet wavelet activation function for solving a class of pantograph differential …
using the Morlet wavelet activation function for solving a class of pantograph differential …
Design of backpropagated intelligent networks for nonlinear second-order Lane–Emden pantograph delay differential systems
In physical science, nonlinear singular Lane–Emden and pantograph delay differential
equations (LE–PDDEs) have abundant applications and thus are of great interest for the …
equations (LE–PDDEs) have abundant applications and thus are of great interest for the …
Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations
In this paper, we develop an efficient finite difference/spectral method to solve a coupled
system of nonlinear multi-term time-space fractional diffusion equations. In general, the …
system of nonlinear multi-term time-space fractional diffusion equations. In general, the …
Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative
The numerical treatment of fractional differential equations in an accurate way is more
difficult to tackle than the standard integer-order counterpart, and occasionally non …
difficult to tackle than the standard integer-order counterpart, and occasionally non …
Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations
This paper develops and analyses a finite difference/spectral-Galerkin scheme for the
nonlinear fractional Schrödinger equations with Riesz space-and Caputo time-fractional …
nonlinear fractional Schrödinger equations with Riesz space-and Caputo time-fractional …
Spectral Galerkin schemes for a class of multi-order fractional pantograph equations
In this paper, we study and present a spectral numerical technique for solving a general
class of multi-order fractional pantograph equations with varying coefficients and systems of …
class of multi-order fractional pantograph equations with varying coefficients and systems of …
Galerkin operational approach for multi-dimensions fractional differential equations
The current manuscript introduces a novel numerical treatment for multi-term fractional
differential equations with variable coefficients. The spectral Galerkin approach is developed …
differential equations with variable coefficients. The spectral Galerkin approach is developed …
[HTML][HTML] Machine learning for modeling the singular multi-pantograph equations
In this study, a new approach to basis of intelligent systems and machine learning
algorithms is introduced for solving singular multi-pantograph differential equations …
algorithms is introduced for solving singular multi-pantograph differential equations …