On the approximate solution of nonlinear Volterra-Fredholm integral equations on a complex domain by Dzyadyk’s method

• Published in: Український математичний журнал
• Date: 1997
• Main Authors: Rizk, М.М., Zaher, S.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1997
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157315
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the approximate solution of nonlinear Volterra-Fredholm integral equations on a complex domain by Dzyadyk’s method / M.M. Rizk, S.L. Zaher // Український математичний журнал. — 1997. — Т. 49, № 11. — С. 1519–1528. — Бібліогр.: 1 назв. — англ.

In 1980–1984, V. K. Dzyadyk suggested and modified an iterative approximation method (IA-method) for numerical solution of the Cauchy problem y′=f(x,y), y(x₀)=x₀. Particular cases of nonlinear mixed Volterra-Fredholm integral equations of the second kind arise in the mathematical simulation of the s...