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The Finite Difference Method

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This chapter discusses the finite difference (FD) method, and begins by discussing a two-dimensional rectangular structure. It discusses Gauss-Seidel equation solution technique, which is the most efficient technique in terms of computer memory utilization because only the voltages themselves (the desired solution) are stored. The chapter shows the relationship between capacitance and resolution parameter; as the resolution increases, the capacitance falls. The FD solution can provide the voltages at the nodes. The chapter shows the creation of a simple approximation to know the voltage at any point in space using linear interpolation. An approach for calculating the capacitance of a structure is to calculate the energy stored in the electric field and then calculate the capacitance.