Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments
Solution of Partial Derivative Equations of Poisson and Klein-Gordon with Neumann Conditions as a Generalized Problem of Two-Dimensional Moments作者机构：Department of Basic Sciences Faculty of Engineering National University of La Plata La Plata Argentina Mathematics Department Faculty of Exact Sciences National University of La Plata La Plata Argentina
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2020年第8卷第8期
页 面：1606-1614页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Equation in Poisson Partial Derivatives Klein-Gordon Equation Integral Equations Generalized Moment Problem
摘 要：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.
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