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In this article, a finite element scheme based on the Newton's method is proposed to approximate the solution of a nonlocal coupled system of parabolic problem. The Crank-Nicolson method is… Click to show full abstract
In this article, a finite element scheme based on the Newton's method is proposed to approximate the solution of a nonlocal coupled system of parabolic problem. The Crank-Nicolson method is used for time discretization. Well-posedness of the problem is discussed at continuous and discrete levels. We derive a priori error estimates for both semidiscrete and fully discrete formulations. Results based on usual finite element method are provided to confirm the theoretical estimates.
Keywords:
element scheme;
finite element;
newton method;
element;
problem
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!