和山数学论坛第74讲


一、主 题：Spectral collocation methods for variable-order fractional differential equations
二、主讲人：曾凡海博士（后） 布朗大学
三、时 间：2015年9月4日（周五下午）16:00—16:40
四、地 点：闻理园A4-305室

内容摘要：
We generalize existing Jacobi–Gauss–Lobatto collocation methods for variable-order fractional differential equations using a singular approximation basis in terms of weighted Jacobi polynomials. In order to derive the differentiation matrices of the variable-order fractional derivatives, we develop a three-term recurrence relation for both integrals and derivatives of these weighted Jacobi polynomials, hence extending the three-term recurrence relationship of Jacobi polynomials. The new spectral collocation method is applied to solve fractional ordinary and partial differential equations with endpoint singularities



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应用数学研究所

2015年9月2日