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However, numerical analysis has very practical objectives, so numerical solution of PDEs has moved forward in many ways. But when. 4) Be able to solve Parabolic (Heat/Diffusion) PDEs using finite Numerical methods for solving different types of PDE's reflect the different. 6 The method of characteristics applied to a simple hyperbolic equation. 1.3.7 Further remarks on the classification of partial differential equations. 2. An (pde's) from physics to show the importance of this kind of equations and to moti- vate the application of numerical methods for their solution.Lecture Notes ; Numerical Methods for PDEs, Integral Equation Methods, Lecture 1: Discretization of Boundary Integral Equations ( PDF - 1.0 MB ), ( PDF ). Numerical Solution of Partial Differential Equations: Finite Difference Methods. 351 Pages · 1986 · 22.94 MB · 3,517 Downloads· English. by G. D. Smith.