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* Scientific Article * Impact Factor 6.630 

Krahmaleva, Y.R., & Nurmaganbetov, E.
Finding an explicit solution of the fredholm equation of 2nd form in gmaple. 


Full Article: PDF
Scientific Object Identifier: http://soi.org/1.1/TAS0413220
DOI: https://dx.doi.org/10.15863/TAS.2024.04.132.20
Language: English
Citation: Krahmaleva, Y.R., & Nurmaganbetov, E. (2024). Finding an explicit solution of the fredholm equation of 2nd form in gmaple. ISJ Theoretical & Applied Science, 04 (132), 177184. Soi: http://soi.org/1.1/TAS0413220 Doi: https://dx.doi.org/10.15863/TAS.2024.04.132.20 
Pages: 177184
Published: 30.04.2024
Abstract: The theory of integral equations acts as a mathematical tool for solving various problems of mathematical modeling. The modern mathematical packages application, the dynamic development of which at the present stage is carried out successfully, creates an opportunity to simplify considerably the algorithms drawing up and to develop mathematical programs of finding the solution of integral equations at modeling of physical processes and phenomena. The article describes the development of a code for finding an explicit solution of the Fredholm integral equation of the 2nd form with a degenerate core. The method of reduction to a system of linear algebraic equations using the criterion of degeneracy of the kernel is realized.
Key words: integral equation, degenerate kernel, Kramer formulas, roots of the equation.

