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The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares | ||
| Computational Methods for Differential Equations | ||
| مقاله 14، دوره 9، شماره 3، مهر 2021، صفحه 830-845 اصل مقاله (172.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.31729.1483 | ||
| نویسندگان | ||
Morteza Asgari؛ Ali Mesforush ؛ Alireza Nazemi 
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| Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. | ||
| چکیده | ||
| In this paper, the interpolating moving least-squares (IMLS) method is discussed. The interpolating moving least square methodology is an effective technique for the approximation of an unknown function by using a set of disordered data. Then we apply the IMLS method for the numerical solution of Volterra–Fredholm integral equations, and finally some examples are given to show the accuracy and applicability of the method. | ||
| کلیدواژهها | ||
| Moving least-squares method؛ Volterra-Fredholm integro-differential equations؛ Error analysis | ||
| مراجع | ||
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