Open AccessAn Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations
Author(s) -
R. Katani
Publication year - 2018
Publication title -
international journal of mathematics and systems science
Language(s) - English
Resource type - Journals
ISSN - 2578-1839
DOI - 10.24294/ijmss.v1i2.492
Subject(s) - integral equation , block (permutation group theory) , convergence (economics) , fredholm integral equation , nonlinear system , mathematics , volterra integral equation , fredholm theory , mathematical analysis , geometry , physics , quantum mechanics , economics , economic growth
This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values. The convergence is proved and finally performance of the method is illustrated by means of some significative examples.