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Implicit-explicit one-leg methods for nonlinear stiff neutral equations
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DOI：10.1016/j.amc.2018.04.046.png)
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摘要
En 中文
In this paper, by adapting the underlying implicit-explicit (IMEX) one-leg methods (cf. [1, 2]), a class of extended IMEX one-leg (EIEOL) methods are suggested for solving nonlinear stiff neutral equations (SNEs). It is proven under some suitable conditions that EIEOL methods are D-convergent of order 2 and stable for nonlinear SNEs. Several numerical examples are given to testify the obtained theoretical results and the computational effectiveness of EIEOL methods. Moreover, a comparison with the fully implicit one-leg methods is presented, which shows that EIEOL methods have the higher computational efficiency. (C) 2018 Elsevier Inc. All rights reserved.
Keyword:
Implicit-explicit one-leg methods
Neutral equations
D-convergence
Nonlinear stability
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期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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