A synthetic analysis of a recently published book that presents a NUMERICAL method of solving 2nd order Elliptic Partial Differential Equations leading towards ANALYTICAL solutions

Volume 7, Issue 3, June 2022     |     PP. 45-59      |     PDF (724 K)    |     Pub. Date: July 12, 2022
DOI: 10.54647/mathematics11327    73 Downloads     5426 Views  

Author(s)

Blumenfeld Maty Rol, Universitatea Politehnica Bucuresti, Romania

Abstract
The author has published recently (2021) a book having the title [1] Numerical Method to select an Analytical Polynomial Solution for Linear or Nonlinear Elliptic Partial Differential Equations of second order
The book can be freely downloaded from the blumenfeld.ro website. It was written during the isolation period that characterized the COVID pandemic. Because this this circumstance, it was difficult to verify - through discussions with other users interested in PDE integration - all the new ideas and hypotheses introduced by the book. Following the lack of such a collegial communication, some incomplete explanations were observed by the author after the publication of the book. This article aims to facilitate the understanding of the new method, through more detailed explanations of such unclear wording.

Keywords

Cite this paper
Blumenfeld Maty Rol, A synthetic analysis of a recently published book that presents a NUMERICAL method of solving 2nd order Elliptic Partial Differential Equations leading towards ANALYTICAL solutions , SCIREA Journal of Mathematics. Volume 7, Issue 3, June 2022 | PP. 45-59. 10.54647/mathematics11327

References

[ 1 ] M.Blumenfeld, Numerical Method to select an Analytical Polynomial Solution for Linear or Nonlinear Elliptic Partial Differential Equations of second order, Editura PRINTECH, Bucharest, 2021.
[ 2 ] M.Blumenfeld, A Consistent Numerical Method Monitored by Residuals for Solving the Partial or Ordinary Differential Equations of First Order, Editura PRINTECH, Bucharest, 2015.
[ 3 ] M.Blumenfeld, The Accurate Element Method for solving Ordinary Differential Equations, Editura JIF, Bucharest 2005.
[ 4 ] M. Blumenfeld, Fast numerical solving using a single cell of a first order partial differential equation with a nonlinear source term, University Polytehnica Bucharest Sci.Bull., Series A, Vol. 80, ISS2, 2018.
[ 5 ] S.C.Chapra, R.P.Canale, Numerical Methods for Engineers, McGraw-Hill, 2002.
[ 6 ] G.W.Collins II, Fundamental Numerical Methods and Data Analysis, Internet Edition, 2003.