Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
Abstract
In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.
Mohamadi,M. and Shahmari,A. (2020). A simple method to solve nonlinear Volterra-Fredholm integro-differential equations. Mathematical Analysis and its Contemporary Applications, 2(1), 9-16. doi: 10.30495/maca.2020.679851
MLA
Mohamadi,M. , and Shahmari,A. . "A simple method to solve nonlinear Volterra-Fredholm integro-differential equations", Mathematical Analysis and its Contemporary Applications, 2, 1, 2020, 9-16. doi: 10.30495/maca.2020.679851
HARVARD
Mohamadi M., Shahmari A. (2020). 'A simple method to solve nonlinear Volterra-Fredholm integro-differential equations', Mathematical Analysis and its Contemporary Applications, 2(1), pp. 9-16. doi: 10.30495/maca.2020.679851
CHICAGO
M. Mohamadi and A. Shahmari, "A simple method to solve nonlinear Volterra-Fredholm integro-differential equations," Mathematical Analysis and its Contemporary Applications, 2 1 (2020): 9-16, doi: 10.30495/maca.2020.679851
VANCOUVER
Mohamadi M., Shahmari A. A simple method to solve nonlinear Volterra-Fredholm integro-differential equations. MACA, 2020; 2(1): 9-16. doi: 10.30495/maca.2020.679851
