For a second-order PDE: ( A u_xx + B u_xy + C u_yy + F(x,y,u,u_x,u_y) = 0 )
If you are looking for the PDF for academic research, look for the 3rd Edition
: Many versions provide flowcharts and C-programs for frequently used numerical methods, making it practical for researchers writing their own code. Standardized Curriculum
Numerical Methods for Scientific and Engineering Computation , are often available on the Internet Archive Computational Methods for Partial Differential Equations
“Excellent book for advanced numerical solutions of PDE's.” Amazon.in Why It Stands Out
The primary academic resource matching your search is by M.K. Jain . This text is highly regarded for postgraduate and advanced undergraduate students in mathematics, science, and engineering. Key Features of the Text