【摘要】 考虑一类积分项带弱奇异积分核情形的积分-微分方程的数值解.利用间断时空有限元方法对方程进行离散,即允许近似函数在时间节点处是间断的.证明了广义解的唯一性,并给出了时间最大模、空间L2模误差估计.更多还原

【Abstract】 The numerical solutions of parabolic integral-differential equations with a weakly singular kernal in the memory term are considered.The equation is discretized by discontinuous Galerkin finite element method,that is approximating functions being discontinuous at the nodes of partition in time.The uniqueness of the generalized solution is proved.Error estimates in L_∞（L₂） norm,that is maxium-norm in time,L₂ norm in space are obtained.更多还原