TY - JOUR
T1 - Finite Fourier transform for solving potential and steady-state temperature problems
AU - Al-Khaled, Kamel
N1 - 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
UR - http://www.scopus.com/inward/record.url?scp=85044281847&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044281847&partnerID=8YFLogxK
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 -