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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Kazemi, Manochehr, Doostdar, Mohammad Reza. (1401). On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations. سامانه مدیریت نشریات علمی, 10(4), 1059-1074. doi: 10.22034/cmde.2022.47106.1974
Manochehr Kazemi; Mohammad Reza Doostdar. "On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations". سامانه مدیریت نشریات علمی, 10, 4, 1401, 1059-1074. doi: 10.22034/cmde.2022.47106.1974
Kazemi, Manochehr, Doostdar, Mohammad Reza. (1401). 'On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations', سامانه مدیریت نشریات علمی, 10(4), pp. 1059-1074. doi: 10.22034/cmde.2022.47106.1974
Kazemi, Manochehr, Doostdar, Mohammad Reza. On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations. سامانه مدیریت نشریات علمی, 1401; 10(4): 1059-1074. doi: 10.22034/cmde.2022.47106.1974

On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations

Computational Methods for Differential Equations
مقاله 15، دوره 10، شماره 4، دی 2022، صفحه 1059-1074    اصل مقاله (387.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.47106.1974
نویسندگان
Manochehr Kazemi* 1؛ Mohammad Reza Doostdar2
1Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.
2Department of mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran.
چکیده
In this work, solving non-linear two-dimensional Hammerstein integral equations is considered by an iterative method of successive approximation. This method is an efficient approach based on a combination of the quadrature formula and the successive approximations method. Also, the convergence analysis and the numerical stability of the suggested method are studied. Finally, to survey the accuracy of the present method, some numerical experiments are given. 
کلیدواژه‌ها
Fixed point theorem؛ Hammerstein integral equations؛ Quadrature formula؛ Iterative method
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