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