Numerical Partial Differential Equations for Chemical Engineers

Chemical engineering systems often rely on complex physical transport processes that can only be described through partial differential equations. Understanding how to formulate and solve these equations numerically is essential for designing reactors, predicting heat transfer, and analyzing mass diffusion. This course provides a clear, step-by-step path to mastering these mathematical tools without requiring advanced programming experience. You will transition from understanding basic physical conservation laws to confidently setting up and solving numerical approximations for steady-state and transient engineering problems. The course begins with foundational definitions, classification of partial differential equations, and basic discretization concepts before moving to practical engineering applications. What you'll learn: - Understand the classification of partial differential equations into elliptic, parabolic, and hyperbolic types - Apply finite difference methods to discretize spatial and temporal derivatives - Set up and solve systems of linear equations arising from steady-state heat and mass transfer models - Implement explicit and implicit time-stepping schemes for transient reaction-diffusion problems - Analyze numerical stability and convergence criteria to ensure accurate simulation results - Formulate boundary conditions representing realistic chemical engineering interfaces This written course guides you systematically through the mathematical theory, starting with essential definitions and boundary conditions, before leading you through the formulation of robust numerical algorithms. It is designed specifically for beginners in numerical computation, requiring only a basic background in calculus and linear algebra. Start building your computational engineering toolkit today.