scholarly journals Design of Morlet wavelet neural network for solving the higher order singular nonlinear differential equations

2021 ◽  
Vol 60 (6) ◽  
pp. 5935-5947
Author(s):  
Zulqurnain Sabir ◽  
Kashif Nisar ◽  
Muhammad Asif Zahoor Raja ◽  
Ag. Asri Bin Ag. Ibrahim ◽  
Joel J.P.C. Rodrigues ◽  
...  
Keyword(s):  
Neural Network ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Higher Order ◽  
Morlet Wavelet ◽  
Wavelet Neural Network

scholarly journals Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Kashif Nisar ◽  
Zulqurnain Sabir ◽  
Muhammad Asif Zahoor Raja ◽  
Ag. Asri Ag. Ibrahim ◽  
Fevzi Erdogan ◽  
...  
Keyword(s):  
Neural Network ◽  
Morlet Wavelet ◽  
Wavelet Neural Network

scholarly journals Oscillation Results for Nonlinear Higher-Order Differential Equations with Delay Term

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 446
Author(s):  
Alanoud Almutairi ◽  
Omar Bazighifan ◽  
Youssef N. Raffoul
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Higher Order ◽  
Middle Term ◽  
Delay Term ◽  
Integral Averaging Technique ◽  
Equations With Delay ◽  
Oscillation Of Solutions ◽  
Comparison Technique ◽  
Higher Order Differential Equations

The aim of this work is to investigate the oscillation of solutions of higher-order nonlinear differential equations with a middle term. By using the integral averaging technique, Riccati transformation technique and comparison technique, several oscillatory properties are presented that unify the results obtained in the literature. Some examples are presented to demonstrate the main results.

scholarly journals Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses

2010 ◽  
Vol 2010 ◽  
pp. 1-20 ◽  
Author(s):  
Kun-Wen Wen ◽  
Gen-Qiang Wang ◽  
Sui Sun Cheng
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Nonlinear Differential Equation ◽  
Nonlinear Differential Equations ◽  
Functional Differential Equations ◽  
Higher Order ◽  
Third Order ◽  
Order Nonlinear Differential Equation ◽  
Functional Differential

Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.

Modeling of coal consumption rate based on wavelet neural network

2017 ◽  
Vol 08 (03) ◽  
pp. 1750023
Author(s):  
Xiaoqiang Wen ◽  
Shuguang Jian
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Consumption Rate ◽  
Orthogonal Experiment ◽  
Thermal Power ◽  
Morlet Wavelet ◽  
Wavelet Neural Network ◽  
Wavelet Function ◽  
Wavelet Neural Networks ◽  
Coal Consumption

In this paper, two wavelet neural network (WNN) frames which depend on Morlet wavelet function and Gaussian wavelet function were established. In order to improve the efficiency of model training, the momentum term was applied to modify the weights and thresholds, and the output of the network was summed up by function transformation of output layer nodes. When the Gaussian Wavelet Neural Networks (GWNN) and Morlet Wavelet Neural Networks (MWNN) were applied to coal consumption rate (CCR) estimation in a thermal power plant, the results confirmed their potency in function approximation. In addition, the influence of learning rate on the models was also discussed through the orthogonal experiment.

The Study of Prediction Model Based on Morlet Wavelet Neural Network

2011 ◽  
Vol 121-126 ◽  
pp. 4847-4851 ◽  
Author(s):  
Hui Zhen Yang ◽  
Wen Guang Zhao ◽  
Wei Chen ◽  
Xu Quan Chen
Keyword(s):  
Neural Network ◽  
Prediction Model ◽  
Network Model ◽  
Neural Network Model ◽  
Learning Algorithm ◽  
Morlet Wavelet ◽  
Wavelet Neural Network ◽  
Model Based ◽  
Neural Network Prediction ◽  
Network Prediction

Wavelet Neural Network (WNN) is a new form of neural network combined with the wavelet theory and artificial neural network. The wavelet neural network model based on Morlet wavelet and the corresponding learning algorithm were studied in this paper. And through learning the wavelet neural network model is applied to all kinds of engineering examples, it proved that the wavelet neural network prediction model which has a more flexible and efficient function approximation ability and strong fault tolerance, and with high predicting precision.

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