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A MFE method combined with L1-approximation for a nonlinear time-fractional coupled diffusion system

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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.
出处 《International Journal of Modeling, Simulation, and Scientific Computing》 EI 2017年第1期179-199,共21页 建模、仿真和科学计算国际期刊(英文)
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).
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