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.
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Kazemi, M., & Doostdar, M. R. (2022). On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations. Computational Methods for Differential Equations, 10(4), 1059-1074. doi: 10.22034/cmde.2022.47106.1974
MLA
Manochehr Kazemi; Mohammad Reza Doostdar. "On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations". Computational Methods for Differential Equations, 10, 4, 2022, 1059-1074. doi: 10.22034/cmde.2022.47106.1974
HARVARD
Kazemi, M., Doostdar, M. R. (2022). 'On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations', Computational Methods for Differential Equations, 10(4), pp. 1059-1074. doi: 10.22034/cmde.2022.47106.1974
VANCOUVER
Kazemi, M., Doostdar, M. R. On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations. Computational Methods for Differential Equations, 2022; 10(4): 1059-1074. doi: 10.22034/cmde.2022.47106.1974
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