Boundary Value Problems in Chemical Engineering

Chemical engineering systems often involve complex heat transfer, mass transport, and chemical reactions that are modeled by differential equations with conditions specified at different boundaries. Understanding how to set up and solve these boundary value problems (BVPs) is essential for predicting system behavior and designing efficient reactors. This course provides a clear, step-by-step path to mastering the numerical techniques required to solve these equations with confidence. You will transition from theoretical equations to robust numerical solutions. By studying structured mathematical formulations and modern computational workflows, you will learn to tackle transport phenomena and reaction engineering problems systematically. What you'll learn: - Understand the core mathematical concepts and foundational definitions of boundary value problems in chemical systems - Apply the finite difference method to discretize ordinary differential equations with boundary constraints - Solve non-linear boundary value problems using shooting methods and relaxation techniques - Configure modern numerical solver algorithms to handle coupled transport and reaction equations - Analyze system sensitivity and stability parameters to ensure realistic physical outcomes - Practice translating physical chemical engineering processes into clear computational algorithms This course begins with essential terminology and fundamental mathematical concepts before introducing practical numerical approximation techniques. You will explore a variety of chemical engineering scenarios, examining how the same underlying numerical solver can be adapted to different physical constraints. This course is designed for beginner-to-intermediate engineering students, researchers, and practicing chemical engineers who want to build a solid foundation in numerical methods. No advanced programming background is required, as all concepts are explained through clear, structured text and algorithmic logic. Start mastering numerical solutions for chemical engineering boundary value problems today.