Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Error Analysis and Model Efficiency for the Jaulent-Miodek System Using Physics-Informed Neural Networks
View through CrossRef
This paper focuses on approximate solution of the Jaulent-Miodek system, which is a nonlinear-coupledpartial differential equations. Physics-Informed Neural Network (PINN) architecture is implemented tofind an approximate solution against the independent variables. Loss function is defined using PDEs andinitial conditions. The PINN is set up to meet both the governing PDEs and the starting conditions.It does this by using automated differentiation to enforce the system’s residuals in the loss function.The results is compared with the exact solution using graphical representations. The model is tested forspecific values of ψ. The error is illustrated in table, which shows the model efficiency and accuracy.
Title: Error Analysis and Model Efficiency for the Jaulent-Miodek System Using Physics-Informed Neural Networks
Description:
This paper focuses on approximate solution of the Jaulent-Miodek system, which is a nonlinear-coupledpartial differential equations.
Physics-Informed Neural Network (PINN) architecture is implemented tofind an approximate solution against the independent variables.
Loss function is defined using PDEs andinitial conditions.
The PINN is set up to meet both the governing PDEs and the starting conditions.
It does this by using automated differentiation to enforce the system’s residuals in the loss function.
The results is compared with the exact solution using graphical representations.
The model is tested forspecific values of ψ.
The error is illustrated in table, which shows the model efficiency and accuracy.
Related Results
Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods
Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods
In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equ...
Fuzzy Chaotic Neural Networks
Fuzzy Chaotic Neural Networks
An understanding of the human brain’s local function has improved in recent years. But the cognition of human brain’s working process as a whole is still obscure. Both fuzzy logic ...
On the role of network dynamics for information processing in artificial and biological neural networks
On the role of network dynamics for information processing in artificial and biological neural networks
Understanding how interactions in complex systems give rise to various collective behaviours has been of interest for researchers across a wide range of fields. However, despite ma...
A physics-informed hybrid architecture of alternating KAN and MLP for ill-posed nonlinear wave equations with unstable solutions
A physics-informed hybrid architecture of alternating KAN and MLP for ill-posed nonlinear wave equations with unstable solutions
In this paper, we introduce a hybrid neural network framework, alternating Kolmogorov-Arnold Network and Multi-Layer Perceptron (A-KMNet), which synergistically combines the advant...
NEURAL NETWORKS AND DEEP LEARNING: THEORITICAL INSIGHTS AND FRAMEWORKS
NEURAL NETWORKS AND DEEP LEARNING: THEORITICAL INSIGHTS AND FRAMEWORKS
“NEURAL NETWORKS AND DEEP LEARNING: THEORITICAL INSIGHTS AND FRAMEWORKS” is a comprehensive guide that dives deep into the world of neural networks and their applications in modern...
A randomized control trial of re-designed and shorter research informed consent forms to improve comprehension
A randomized control trial of re-designed and shorter research informed consent forms to improve comprehension
Background/Aims:
Informed consent forms are an essential component of ethical clinical research. However, they are failing. They are long, legalistic, and writt...
NON-CLASSICAL LIE SYMMETRY ANALYSIS OF KDV, JAULENT–MIODEK, AND JIMBO–MIWA EQUATIONS
NON-CLASSICAL LIE SYMMETRY ANALYSIS OF KDV, JAULENT–MIODEK, AND JIMBO–MIWA EQUATIONS
The Lie symmetry analysis of non-classical is presented in the context of three important nonlinear partial differential equations, the (1+1)-dimensional Kortewegde Vries (KdV) equ...
REVIEW AND ANALYSIS OF APPROACHES AND PRACTICAL APPLICATIONS OF HUMAN EMOTION RECOGNITION
REVIEW AND ANALYSIS OF APPROACHES AND PRACTICAL APPLICATIONS OF HUMAN EMOTION RECOGNITION
Human emotions are complex and multifaceted, making them difficult to quantify and analyze. However, as technology advances, researchers are exploring the artificial intelligence u...