On the numerical treatment and analysis of Hammerstein integral equation

In this paper, we study the quadratic rules for the numerical solution of Hammerstein integral equation based on spline quasi-interpolant. Also the convergence analysis of the methods are given. The theoretical behavior is tested on examples and it is shown that the numerical results confirm theoretical part.

Keywords:

SPline , Quasi-interpolant , Quadrature , Hammerstein , Convergence

Authors

Maryam Derakhshan

epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.

Mohammad Zarebnia

epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.

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https://civilica.com/doc/1597945

شناسه ملی سند علمی:

JR_CMDE-9-2_012

تاریخ نمایه سازی: 15 بهمن 1401

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Derakhshan, Maryam and Zarebnia, Mohammad,1400,On the numerical treatment and analysis of Hammerstein integral equation,https://civilica.com/doc/1597945

Scientometrics

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Ranking of University of Mohaghegh Ardabili

Type of center: دانشگاه دولتی

Paper count: 19,503

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