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Numerical Computation of High-Voltage Field by Finite Difference Method

ABSTRACT Numerical methods for solving Laplace’s equation by expressing it in finite-difference form have been attempted by researchers way back in the mid-1950s. However, it is only in the mid-1960s, with the advent of relatively high-speed computers, that this numerical method of solution became a feasible proposition. Finite difference method (FDM), as it is commonly known, could be used to study electrostatic field distribution in two-dimensional (2D), axi-symmetric as well as in three-dimensional (3D) cases. This chapter presents detailed discussions on the FDM formulations as applied to all the above-mentioned cases. The system of FDM equations, the accuracy ...

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