Open AccessFourier Transformation method for solving integral equation in the 2.5D problem of electric sounding
Author(s) -
D.S. Rakisheva,
Balgaisha Mukanova
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2092/1/012018
Subject(s) - electric field integral equation , integral equation , summation equation , fourier transform , transformation (genetics) , mathematics , mathematical analysis , integro differential equation , integral transform , partial differential equation , riccati equation , biochemistry , chemistry , gene
The paper discusses a method for solving an integral equation for calculating a three-dimensional electric field in a medium with a two-dimensional geometry based on the Fourier transform. The results of the numerical solution of the transformed integral equation and the original integral equation for the medium with the surface relief are compared. The original equation was solved using parallelization technologies on a system with shared memory. A significant performance improvement based on the transformed equations, including in comparison with the parallel version of the program for the original integral equation, is shown.