Weighted Residual Method for the System of Nonlinear Volterra Integral Equations of the Second Kind Using an Exponential Function | Zendy

Chinar S. Ahmed | Zendy

Open Access

Weighted 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 -

ibn al- haitham journal for pure and applied science

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).

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