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Gueye, S.B., Talla, K. and Mbow, C. (2014) Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method. Journal of Electromagnetic Analysis and Applications, 6, 309-318.
https://doi.org/10.4236/jemaa.2014.610031

has been cited by the following article:

• TITLE: Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments

  AUTHORS: Maria B. Pintarelli

  KEYWORDS: Equation in Poisson Partial Derivatives, Klein-Gordon Equation, Integral Equations, Generalized Moment Problem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.8, August 25, 2020

  ABSTRACT: It will be shown that finding solutions from the Poisson and Klein-Gordon equations under Neumann conditions are equivalent to solving an integral equation, which can be treated as a generalized two-dimensional moment problem over a domain that is considered rectangular. The method consists to solve the integral equation numerically using the two-dimensional inverse moments problem techniques. We illustrate the different cases with examples.