A Combination of Deep Neural Networks and Physics to Solve the Inverse Problem of Burger's Equation

Keyphrases

• Inverse Problem 100%
• Deep Neural Network 100%
• Burgers Equation 100%
• Nonlinear Partial Differential Equations 40%
• Neural Network 40%
• Partial Differential Equations 40%
• Clinical Application 20%
• Recent Advances 20%
• Value Loss 20%
• Numerical Methods 20%
• Ultrasound 20%
• Curse of Dimensionality 20%
• Neural Network Model 20%
• Diffusion Effect 20%
• Forward Problem 20%
• Training Process 20%
• Complex Domain 20%
• Propagation Effects 20%
• Deep Learning 20%
• Wave Propagation Model 20%
• Meshless Approach 20%
• Training Loss 20%

Engineering

• Physics Informed Neural Network 100%
• Nonlinear Partial Differential Equation 66%
• Clinical Application 33%
• Numerical Methods 33%
• Dimensionality 33%
• Initial Condition 33%
• Network Model 33%
• Propagation Model 33%

Mathematics

• Neural Network 100%
• Partial Differential Equation 80%
• Approximates 20%
• Curse of Dimensionality 20%
• Initial Condition 20%
• Network Model 20%
• Boundary Condition 20%