Keyphrases
Inverse Problem
100%
Physics-informed Neural Networks
100%
Forward Problem
100%
Nonlinear Integro-differential Equation
100%
Auxiliary Outputs
28%
Neural Network
21%
Governing Equation
21%
Partial Differential Equations
21%
Integro-differential Equations
21%
Neural Network Framework
21%
Volterra Integral Equation
14%
Nonlinear Volterra Integro-differential Equations
14%
Neural Network Method
14%
Output Variable
7%
First-order
7%
Ordinary Differential Equations
7%
Discretization Error
7%
Approximate Solution
7%
Accurate Solution
7%
Learning Paradigm
7%
Noisy Data
7%
Benchmark Problems
7%
Feedforward Neural Network
7%
Truncation Error
7%
Nonlinear Partial Differential Equations
7%
Deep Learning
7%
Labeled Data
7%
Multi-output
7%
Integral Operator
7%
Physical Data
7%
Surrogate Model
7%
Physical Laws
7%
Nonlinear Fredholm Integral Equation
7%
Stochastic Partial Differential Equations
7%
Automatic Differentiation
7%
Systems of Integro-differential Equations
7%
Integer Order
7%
Fractional Partial Differential Equations
7%
Engineering
Physics Informed Neural Network
100%
Partial Differential Equation
35%
Discretization
21%
Feedforward
7%
Good Performance
7%
Nonlinear Partial Differential Equation
7%
Approximate Solution
7%
Accurate Solution
7%
Discretization Error
7%
Surrogate Model
7%
Noisy Data
7%
Benchmark Problem
7%
Truncation Error
7%
Deep Learning Method
7%
Equation System
7%
Chemical Engineering
Auxiliaries
100%
Neural Network
100%
Feedforward Neural Network
5%
Nonlinear System
5%
Deep Learning Method
5%