The basis for the finite difference method is simple and intuitive

BASIS for the FINITE DIFFERENCE METHOD (explicit / implicit approach)

There are alternative formulations and variations that you need to be aware of

A few ALTERNATIVE FORMULATIONS and VARIATIONS

A variety of matrix solution techniques are utilized to solve the finite difference equations. These techniques iteratively approximate the solution. There are a few essential concepts you need to grasp in order to use a solution wisely:

ESSENTIAL CONCEPTS RELATED TO MATRIX SOLVERS

If you didn't click over to the mass balance page when studying about matrix solutions, then do so now.

MASS BALANCE CONCEPTS

If you didn't click over to the relaxation/acceleration page when studying about matrix solutions, then do so now.

ACCELERATION/RELAXATION CONCEPTS

Simple finite difference models can be computed by spreadsheet. Working with a spreadsheet model may help you to better understand more elaborate finite difference codes. Explore a simple steady-state confined flow model here. Consider what you can do to add features, layers, transients, unconfined conditions and so on. Your thoughts about these possibilities will help you understand the finite difference approach.

FINITE DIFFERENCE BY SPREADSHEET

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