TY - JOUR
A2 - Gao, Xiao-wei
AU - Yaremko, Oleg
AU - Yaremko, Natalia
PY - 2016
DA - 2016/08/31
TI - Matrix Fourier Transforms for Consistent Mathematical Models
SP - 1975493
VL - 2016
AB - We create a matrix integral transforms method; it allows us to describe analytically the consistent mathematical models. An explicit constructions for direct and inverse Fourier matrix transforms with discontinuous coefficients are established. We introduce special types of Fourier matrix transforms: matrix cosine transforms, matrix sine transforms, and matrix transforms with piecewise trigonometric kernels. The integral transforms of such kinds are used for problems solving of mathematical physics in homogeneous and piecewise homogeneous media. Analytical solution of iterated heat conduction equation is obtained. Stress produced in the elastic semi-infinite solid by pressure is obtained in the integral form.
SN - xxxx-xxxx
UR - https://doi.org/10.1155/2016/1975493
DO - 10.1155/2016/1975493
JF - Chinese Journal of Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -