【和山数学论坛74讲】美国布朗大学曾凡海博士学术报告 9月4日下午

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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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