First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation

@article{RamirezTachiquin2013FirstCO,
  title={First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation},
  author={Marco Ramirez-Tachiquin and Cesar Marco Antonio Robles Gonzalez and Adrian Hernandez-Becerril and Ariana Guadalupe Bucio Ramirez},
  journal={J. Applied Mathematics},
  year={2013},
  volume={2013},
  pages={493483:1-493483:14}
}
Based upon the elements of the modern pseudoanalytic function theory, we analyze a new method for numerically solving the forward Dirichlet boundary value problem corresponding to the two-dimensional electrical impedance equation. The analysis is performed by introducing interpolating piecewise separable-variables conductivity functions in the unit circle. To warrant the effectiveness of the posed method, we consider several examples of conductivity functions, whose boundary conditions are… CONTINUE READING

Citations

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An Optimized Numerical Method for Solving the Two-Dimensional Impedance Equation

G. C.M.A.Robles, R. A.Bucio, T. M.P.Ramirez
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A simplified method for numerically solving the Impedance Equation in the plane

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