Explore the Finite Volume Method for solving diffusion equations in this comprehensive lecture, focusing on the linearization of source terms and the line-by-line TDMA algorithm. Gain a thorough understanding of the TDMA algorithm summary and its application in solving complex mathematical problems. Delve into the intricacies of source term linearization and its importance in numerical methods. Learn how to implement the line-by-line TDMA technique for efficient problem-solving in computational fluid dynamics and heat transfer applications.