Solving 3D Boundary Value Problems in Chemical Engineering

Simulating physical phenomena like heat distribution across a solid surface requires solving complex differential equations. This course introduces you to the foundational principles of solving three-dimensional boundary value problems using modern numerical methods. Through clear, written explanations and structured code walkthroughs, you will transition from understanding basic mathematical definitions to writing robust numerical scripts. You will learn how to discretize physical domains, apply realistic boundary conditions, and simulate steady-state transport processes. What you'll learn: - Understand the fundamental theory of boundary value problems and partial differential equations in chemical engineering. - Apply the 3D finite difference method to discretize continuous physical systems into structured numerical grids. - Configure Dirichlet, Neumann, and mixed boundary conditions to represent realistic physical constraints. - Implement solver algorithms in code to compute steady-state temperature profiles and transport phenomena. - Analyze numerical stability, convergence, and error propagation in your simulations. The course begins with core mathematical concepts and basic grid definitions, then guides you step-by-step through building a complete 3D thermal simulation model from scratch. This course is designed for beginner engineering students and self-learners with basic math knowledge; no advanced programming experience is required. Start learning today and master the fundamentals of numerical modeling in chemical engineering.