Focuses on heat conduction and diffusion. It covers the Crank-Nicolson method and ADI (Alternating Direction Implicit) methods.
Reviewers often highlight the book's clarity and advanced pedagogical value:
The material is based on lectures refined over years at the Indian Institute of Technology (IIT) Delhi , making it highly structured for classroom use. Availability & Access
Wave propagation is notoriously tricky for beginners. Jain covers the characteristics method and the famous "Leapfrog" method. The "best" PDF copies will have clear diagrams showing wave reflections and boundary condition implementations.
The book focuses on (FDM) almost exclusively. It covers:
[ -u_i-1^n+1 + 2(1+r)u_i^n+1 - ru_i+1^n+1 = ru_i-1^n + 2(1-r)u_i^n + ru_i+1^n ]
Professor M.K. Jain (often associated with the Indian Institute of Technology, Delhi) is a stalwart in numerical methods. Unlike many modern authors who rush through derivations, Jain provides a step-by-step logical flow. His book bridges the gap between pure mathematics (existence/uniqueness of solutions) and practical coding (algorithm stability).