TY - JOUR
T1 - Finite Fourier transform for solving potential and steady-state temperature problems
AU - Al-Khaled, Kamel
N1 - Funding Information:
The author is grateful to the editor and the reviewers for their careful reading and useful comments. This research was partially supported by Jordan University of Science and Technology.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/12/1
Y1 - 2018/12/1
N2 - 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.
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.
KW - Finite Fourier transform
KW - Heat equation
KW - Numerical solutions
KW - Steady-state temperature
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U2 - 10.1186/s13662-018-1552-8
DO - 10.1186/s13662-018-1552-8
M3 - Article
AN - SCOPUS:85044281847
SN - 1687-1839
VL - 2018
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 98
ER -