Finite Element Scheme with Crank-Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy

被引：5

作者：

Chaudhary, Sudhakar ^{[1
]}

Srivastava, Vimal ^{[1
]}

Kumar, V. V. K. Srinivas ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Delhi, India

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2017年 / 14卷 / 05期

关键词：

Kirchhoff equation; Crank-Nicolson method; Newton's method; APPROXIMATIONS; EQUATIONS;

D O I：

10.1142/S0219876217500530

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we present a finite element scheme with Crank-Nicolson method for solving nonlocal parabolic problems involving the Dirichlet energy. We discuss the well-posedness of the weak formulation at continuous as well as at discrete levels. We derive a priori error estimates for both semi-discrete and fully-discrete formulations. Results based on usual finite element method are provided to confirm the theoretical estimates.

引用

页数：24

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