Open AccessWeighted Residual Method for the System of Nonlinear Volterra Integral Equations of the Second Kind Using an Exponential Function
Author(s) -
Chinar S. Ahmed
Publication year - 2021
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/34.3.2682
Subject(s) - residual , mathematics , volterra integral equation , method of mean weighted residuals , exponential function , nonlinear system , block (permutation group theory) , function (biology) , integral equation , collocation (remote sensing) , exponential integral , taylor series , mathematical analysis , computer science , algorithm , geometry , volume integral , physics , quantum mechanics , galerkin method , evolutionary biology , machine learning , biology
The numerical resolve nonlinear system of Volterra integral equation of the second kind (NLSVIEK2) has been considered. The exponential function is used as the base function of the collocation method to approximate the resolve of the problem. Arithmetic epitome are performed which have already been solved by weighted residual manner, Taylor manner and block- by- block(2, 3, 5).