摘要
In this paper,a nonlinear time-fractional coupled diffusion system is solved by using a mixed finite element(MFE)method in space combined with L1-approximation and implicit second-order backward difference scheme in time.The stability for nonlinear fully discrete finite element scheme is analyzed and a priori error estimates are derived.Finally,some numerical tests are shown to verify our theoretical analysis.
基金
the National Natural Science Fund(11661058,11301258,11361035)
the Natural Science Fund of Inner Mongolia Autonomous Region(2016MS0102,2015MS0101)
the Scientific Research Projection of Higher Schools of Inner Mongolia(NJZZ12011)
the National Undergraduate Innovative Training Project(201510126026).