Partial differential equations as three-dimensional inverse problem of moments

PINTARELLI, MARÍA B.; VERICAT, FERNANDO

JOURNAL OF MATHEMATICS AND SYSTEM SCIENCE

DAVID PUBLISHING

Lugar: Libertyville, ILLINOIS; Año: 2014 vol. 4 p. 657 - 666

2159-5291

We considerer partial differential equations of second order, for example the Klein-Gordon equation, the Poisson equation. We will see that with a common procedure in all cases, we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.