Fourier method for higher dimensional inverse quasi-linear parabolic problem

Bağlan İ., Kanca F.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.37, no.3, pp.2222-2234, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1002/num.22682
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.2222-2234
  • Keywords: inverse problem, nonlocal(periodic) boundary conditions, two dimensional heat problem, EQUATION
  • Kocaeli University Affiliated: Yes

Abstract

In this work, higher-dimensional inverse quasi-linear parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution.