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Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 1، Issue 1، خرداد 2013، صفحه 28-40 اصل مقاله (153.66 K) | ||
| نویسنده | ||
| Farshid Mirzaee* | ||
| چکیده | ||
| In this paper, the two-dimensional triangular orthogonal functions (2D-TFs) are applied for solving a class of nonlinear two-dimensional Volterra integral equations. 2D-TFs method transforms these integral equations into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the results with the other numerical methods. | ||
| کلیدواژهها | ||
| Nonlinear two-dimensional Volterra integral equations؛ triangular or- thogonal functions؛ Two-dimensional triangular orthogonal functions؛ orthogonal functions | ||
| مراجع | ||
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