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 JAMP  Vol.8 No.8 , August 2020
Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments
Maria B. Pintarelli1,2
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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.
Keywords: Equation in Poisson Partial Derivatives, Klein-Gordon Equation, Integral Equations, Generalized Moment Problem
Cite this paper: Pintarelli, M. (2020) Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments. Journal of Applied Mathematics and Physics, 8, 1606-1614. doi: 10.4236/jamp.2020.88123.
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