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On the numerical solution of the linear and nonlinear Poisson equations seen as bi-dimensional inverse moment problems
(Taylor & Francis, 2016-12)
The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary conditions is considered. Using Green identity we show that this problem is equivalent to solve a bi-dimensional Fredholm ...
Non linear second order partial differential equations as generalized inverse moment problems
(Taylor & Francis, 2018-03)
General forms for non linear elliptic, hyperbolic and parabolic partial differential equations are considered. For all these we present a general procedure that transforms they into a Fredholm integral equation of the first ...
Partial Differential Equations as Three-Dimensional Inverse Problem of Moments
(David Publishing, 2014-10)
We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation, on a region E= (a1, b1)x(a2, b2)x(a3, b3). We will see that with a common procedure in all cases, ...