DeepXDE Tutorial #4: Solving the Euler Beam Equation with Custom Boundary Conditions

Video-ID-V20241121-AA Dive into the world of Physics Informed Neural Networks (PINNs) with this comprehensive tutorial! In this third video of our boundary conditions series, we explore how to define and apply custom boundary conditions using the OperatorBC command in DeepXDE. Using the Euler Beam Equation as our example, we demonstrate how to solve complex fourth-order differential equations with higher-order and mixed boundary conditions, providing step-by-step guidance. 📚 Key Topics Covered: - Understanding custom and non-standard boundary conditions - Defining second- and third-order derivative boundary conditions - Implementing custom BCs using OperatorBC in DeepXDE - Solving the Euler Beam Equation with Dirichlet, Neumann, and OperatorBCs - Comparing PINN solutions with analytical solutions for accuracy 🎓 Whether you're new to PINNs or looking to enhance your skills, this video is packed with insights and practical examples to help you get started. Don't miss the next tutorial, where we'll explore residual errors for various boundary conditions! 📂 *Get This Tutorial Project Files* - Download the exact files used in this tutorial and practice hands-on. *Link* : https://topmate.io/epyconnect/1828790 - *Want to go beyond this single project?* → This tutorial is part of our full course on *Physics Informed Neural Networks Masterclass* , which includes lifetime access to all video lessons and complete source code for every algorithm. *Link* : https://exly.co/PvxFUL 🔔 Subscribe to our channel for more hands-on tutorials and deep dives into PINNs, DeepXDE, and advanced computational techniques. #DeepXDE #EulerBeamEquation #PhysicsInformedNeuralNetworks