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In this article a new version of the algorithm for Electrical Impedance Tomography is presented. By describing the problem with differential equations brought to integral equations the inverse problem for tomography has been defined. This algorithm can be used for many types of nonclassical tomography. This approach is particularly useful where it is not possible to formulate accurately the boundary conditions at the outer boundary of the region. The influence of the order of BEM effect on precision of imaging was shown.

Comparison second order versus zero order boundary element method for tomography imaging