: Chapter 9 contains specific solved applications that serve as a blueprint for solving most of the homework-style problems. 2. Community and Unofficial Resources
Detailed looks at iterative solvers like Gauss-Seidel and Successive Over-Relaxation (SOR). Modern Context and Comparisons Numerical Heat Transfer And Fluid Flow Patankar Solutions
Many universities (MIT, Stanford, University of Michigan) provide detailed course notes that often walk through Patankar’s examples in more depth.
To supplement Patankar's physical focus with deeper theory or modern applications, consider these highly-rated alternatives: An Introduction to Computational Fluid Dynamics by H.K. Versteeg & W. Malalasekera. Computational Methods for Fluid Dynamics by J.H. Ferziger & M. Peric. The Finite Volume Method in Computational Fluid Dynamics by Moukalled et al..
(kdTdx)e≈keTE−TP(δx)eopen paren k the fraction with numerator d cap T and denominator d x end-fraction close paren sub e is approximately equal to k sub e the fraction with numerator cap T sub cap E minus cap T sub cap P and denominator open paren delta x close paren sub e end-fraction