M.K. Jain's Computational Methods for Partial Differential Equations
Computational Methods for Partial Differential Equations S.R.K. Iyengar
: Don't just read. Try to implement a simple Heat Equation in Python or MATLAB .
Detailed answers and hints for the ~300 included problems to facilitate self-learning. Why It Is Considered One of the "Best"
M.K. Jain’s Numerical Methods for Scientific and Engineering Computation (often cited alongside his specific PDE works) remains a bestseller for a reason. It is dense, accurate, and serves as a lifelong reference for anyone in the STEM fields.
Don't just memorize the final formula. Practice the Taylor series expansion used to derive the finite difference approximations.