Foundations of Numerical Methods for Chemical Engineering: Boundary Value Problems

Chemical engineering often presents complex problems that lack straightforward analytical solutions, requiring powerful numerical techniques to find practical answers. This course equips you with the foundational knowledge and practical skills to understand, formulate, and solve boundary value problems numerically, enabling you to tackle realistic engineering challenges. What you'll learn: * Understand the fundamental principles of numerical methods for ordinary and partial differential equations. * Apply finite difference methods to discretize and approximate solutions for boundary value problems in various dimensions. * Formulate and solve systems of linear and non-linear algebraic equations derived from numerical models. * Analyze the concepts of stability, convergence, and accuracy in numerical schemes. * Implement numerical algorithms using clear, step-by-step programming logic and pseudo-code. * Interpret and validate numerical results in the context of chemical engineering applications. * Explore the basic usage patterns of modern scientific computing libraries for efficient problem-solving. The course begins with core terminology and mathematical foundations, progressing through the systematic application of numerical methods to chemical engineering scenarios, all explained through written explanations and illustrative code snippets. This course is designed for chemical engineering students, recent graduates, and professionals who are new to numerical methods and wish to build a strong foundation without prior experience. Begin your exploration of computational problem-solving in chemical engineering.