Finite Fourier transform for solving potential and steady-state temperature problems

Kamel Al-Khaled*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The derivation of this paper is devoted to describing the operational properties of the finite Fourier transform method, with the purpose of acquiring a sufficient theory to enable us to follow the solutions of boundary value problems of partial differential equations, which has some applications on potential and steady-state temperature. Numerical calculations show that the present method gives higher accuracy with less computation time than other, traditional methods, like the finite difference method.

Original languageEnglish
Article number98
JournalAdvances in Difference Equations
Volume2018
Issue number1
DOIs
Publication statusPublished - Dec 1 2018
Externally publishedYes

Keywords

  • Finite Fourier transform
  • Heat equation
  • Numerical solutions
  • Steady-state temperature

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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