
Reliable Iterative Method for solving Volterra -Fredholm Integro Differential Equations
Author(s) -
Samaher Marez
Publication year - 2021
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/qjps.2021.26.2.1262
Subject(s) - iterative method , iterative and incremental development , differential equation , mathematics , fredholm integral equation , computer science , matlab , simple (philosophy) , series (stratigraphy) , integral equation , mathematical optimization , mathematical analysis , philosophy , paleontology , software engineering , epistemology , biology , operating system
The aim of this paper, a reliable iterative method is presented for resolving many types of Volterra - Fredholm Integro - Differential Equations of the second kind with initial conditions. The series solutions of the problems under consideration are obtained by means of the iterative method. Four various problems are resolved with high accuracy to make evident the enforcement of the iterative method on such type of integro differential equations. Results were compared with the exact solution which exhibit that this technique has compatible with the right solutions, simple, effective and easy for solving such problems. To evaluate the results in an iterative process the MATLAB is used as a math program for the calculations.