An unsupervised wavelet neural network model for approximating the solutions of non-linear nervous stomach model governed by tension, food and medicine

AK Sahoo, S Chakraverty - Computer Methods in Biomechanics …, 2024 - Taylor & Francis
The human stomach is a complex organ. Its role is to degrade food particles by using
mechanical forces and chemical reactions in order to release nutrients. All ingested items …

Stabilised auto-regressive neural networks (s-ARNNs) for data driven prediction of forced nonlinear systems

T Westmeier, H Hetzler, D Kreuter, S Bäuerle - Mechanical Systems and …, 2025 - Elsevier
Forced vibrations of nonlinear dynamical systems are usually predicted by solving
differential equations, which have been derived from 'first principles' given by physical laws …

The Numerical Solution of Nonlinear Fractional Lienard and Duffing Equations Using Orthogonal Perceptron

A Verma, W Sumelka, PK Yadav - Symmetry, 2023 - mdpi.com
This paper proposes an approximation algorithm based on the Legendre and Chebyshev
artificial neural network to explore the approximate solution of fractional Lienard and Duffing …

[HTML][HTML] Design of Morlet Wavelet Neural Networks for Solving the Nonlinear Van der Pol–Mathieu–Duffing Oscillator Model

AH Ali, M Amir, JU Rahman, A Raza, GE Arif - Computers, 2025 - mdpi.com
The motivation behind this study is to simplify the complex mathematical formulations and
reduce the time-consuming processes involved in traditional numerical methods for solving …

Bifurcations Due to Different Neutral Delays in a Fractional-Order Neutral-Type Neural Network

C Huang, H Liu, T Huang, J Cao - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article lucubrates the bifurcations in respect of a fractional-order neutral-type neural
network (FONTNN) with two nonidentical delays. To begin with, the characteristic equation …

An Unsupervised Scientific Machine Learning Algorithm for Approximating Displacement of Object in Mass-Spring-Damper Systems

AK Sahoo, S Kumar, S Chakraverty - IEEE Access, 2024 - ieeexplore.ieee.org
Differential equations play a significant role in modeling of real world dynamical problems. A
large amount of prior physical information in the form of differential equations are inherited in …

Double parametric based solution of fuzzy unconfined aquifer problem using Laplace transforms method

M Sahoo, D Behera, S Chakraverty - Physics of Fluids, 2024 - pubs.aip.org
The Boussinesq equation describes the model for horizontal water flow in unconfined
aquifers without precipitation, a topic that has been extensively studied in the literature …

An advanced scheme based on artificial intelligence technique for solving nonlinear riccati systems

MR Admon, N Senu, A Ahmadian, ZA Majid - Computational and Applied …, 2024 - Springer
Recently, one artificial intelligence technique, known as artificial neural network (ANN), has
brought advanced development to the arena of mathematical research. It competes …

Novel approach for solving higher-order differential equations with applications to the Van der Pol and Van der Pol–Duffing equations

AO Elnady, A Newir, MA Ibrahim - Beni-Suef University Journal of Basic …, 2024 - Springer
Background Numerical methods are used to solve differential equations, but few are
effective for nonlinear ordinary differential equations (ODEs) of order higher than one. This …

Unsupervised ANN model for solving fractional differential equations

AK Sahoo, S Chakraverty - Computation and Modeling for Fractional Order …, 2024 - Elsevier
In this chapter, a neural network model for solving fractional differential equations is
described. This model is based on approximating the solution by using power series …