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中文摘要：
本文考虑区域Ω=[0，1]^d（d=2，3）上的非齐次抛物型方程第一边值问题δu/δt-CΔu＋C2u=f（x,t）,x∈Ω，t∈（0,T].
英文摘要：
This paper presents some extended locally one-dimensional finite difference and finite element schemes for nonhomogeneous parabolic differential equations with nonhomogeneous boundary conditions. It is proved that these finite difference schemes have second order accuracy with respect to discrete L^2 norm. Finally, the schemes are illustrated by numerical examples and the results are very satisfactory.
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