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

Kamel Al-Khaled

doi:10.1186/s13662-018-1552-8

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

Kamel Al-Khaled^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Article number	98
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1552-8
Publication status	Published - Dec 1 2018
Externally published	Yes

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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10.1186/s13662-018-1552-8

Cite this

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AB - 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.

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KW - Numerical solutions

KW - Steady-state temperature

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

Abstract

Keywords

ASJC Scopus subject areas

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