Web Reference: In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences. Chapter One - Finite Difference The Finite Difference Method (FDM) (or the associated difference quotients): is a numerical technique used to solve ordinary and partial differential equations (ODEs and PDEs) by approximating derivatives with finite differences. It is one of the oldest and most widely used approaches in numerical analysis, especially for problems in physics and engineering like ... Finite difference methods are developed to model lineal and cylindrical displacements of fluid in cores, with and without transient mudcake buildup. The importance of matching conditions between different flow regions is emphasized as is the manner they are implemented numerically.
YouTube Excerpt: Approximating derivatives numerically is an important task in many areas of science and
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