On Discrete Solutions for Elliptic Pseudo-Differential Equations

Authors

  • O.A. Tarasova
  • A.V. Vasilyev
  • V.B. Vasilyev

DOI:

https://doi.org/10.31489/2021m3/117-123

Keywords:

Digital pseudo-differential operator, Discrete solution, Discrete boundary value problem, Rate of approximation

Abstract

We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev-Slobodetskii spaces. Based on the theory of discrete boundary value problems for elliptic pseudo-differential equations we give a comparison between discrete and continuous solutions for certain model boundary value problem.

Downloads

Published

2021-09-30

How to Cite

Tarasova, O., Vasilyev, A., & Vasilyev, V. (2021). On Discrete Solutions for Elliptic Pseudo-Differential Equations. Bulletin of the Karaganda University. Mathematics Series, 103(3), 117–123. https://doi.org/10.31489/2021m3/117-123

Issue

2021 (103) 3

Section

MATHEMATICS