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Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 10، دوره 2، شماره 4، دی 2014، صفحه 268-282 اصل مقاله (176.66 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mohammadreza Ahmadi Darani* 1؛ Shirin Bagheri2 | ||
| 1Faculty of mathematical Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran. | ||
| 2Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch, P. O. Box 14515/775, Tehran, Iran. | ||
| چکیده | ||
| The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test problems are discussed at the end of paper to show the efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Integro-differential equations؛ fractional type of flatlet oblique multiwavelets؛ biorthogonal flatlet multiwavelet system | ||
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