Multidimensional Inverse Problem with Goursat Type Conditions
Author(s):
Taalaibek Omurov
Faculty of Mathematics, Informatics and Cybernetics,
Kyrgyz National University named after J. Balasagyn
Kyrgyzstan, Bishkek
Doctor of Physical and Mathematical Sciences, professor
Amantur Ryspaev
Faculty of Mathematics, Informatics and Cybernetics,
Kyrgyz National University named after J. Balasagyn
PhD in Physics and Mathematics, doctoral
Ryspaev.Amantur@yandex.ru
Maksat Omurov
Faculty of Information and Innovation Technologies
Kyrgyz National University named after J. Balasagyn
Teacher
m_omurov@mail.ru
Abstract:
In this work by analytic-regularization
methods we investigate a multidimensional inverse
problem with Goursat type conditions, where a two-dimensional
first kind Volterra-Fredholm integral equation degenerates.
On the base of developed system algorithm the numerical method
for solving this equation is elaborated, such that the constructed
difference scheme analogues are stable.
Keywords
- difference schemes
- inverse problem
- method of regularization
- numerically-system algorithm
- quadrature formula
- Volterra-Fredholm equation
References:
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