English

An approximate proximal numerical procedure concerning the generalized method of lines

General Mathematics 2022-06-01 v1

Abstract

This article develops an approximate proximal approach for the generalized method of lines. The present results are extensions and applications of previous ones which have been published since 2011, in books and articles such as [3,4,5,6]. We also recall that in the generalized method of lines, the domain of the partial differential equation in question is discretized in lines (or in curves) and the concerning solution is developed on these lines, as functions of the boundary conditions and the domain boundary shape.

Keywords

Cite

@article{arxiv.2205.15910,
  title  = {An approximate proximal numerical procedure concerning the generalized method of lines},
  author = {Fabio Silva Botelho},
  journal= {arXiv preprint arXiv:2205.15910},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-24T11:34:45.562Z