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4.1.3 Nonlinear Equation Solution

  After discretization of the diffusion equations we have a system of nonlinear algebraic equations. The diffusion equations are discretized for every solution variable x, mostly dopant concentrations, on every grid node. This leads to an equation system of rank tex2html_wrap_inline4931 , the number of unknown quantities tex2html_wrap_inline4933 times the number of grid points tex2html_wrap_inline4935 . The discretized equations are represented by vector functions tex2html_wrap_inline4937 for each grid node.

  equation610

Since the system is nonlinear, only iterative methods are applicable for the solution.





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