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A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient

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In this paper, an efficient finite element scheme is presented for a class of fourth-order nonlinear parabolic problems with variable coefficient. To deal with second-order term in weak formulation, we… Click to show full abstract

In this paper, an efficient finite element scheme is presented for a class of fourth-order nonlinear parabolic problems with variable coefficient. To deal with second-order term in weak formulation, we choose the cubic B-spline function as a trial function. Rigorous error estimates are derived for both semi-discrete and fully-discrete schemes. We provide a numerical example to confirm our theoretical results.

Keywords: variable coefficient; method nonlinear; spline finite; finite element; element method

Journal Title: Advances in Difference Equations
Year Published: 2019

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