Implicit-explicit one-leg methods for nonlinear stiff neutral equations

Zengqiang Tan and Chengjian Zhang

Applied Mathematics and Computation, 2018, vol. 335, issue C, 196-210

Abstract: 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.

Keywords: Implicit-explicit one-leg methods; Neutral equations; D-convergence; Nonlinear stability (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:196-210

DOI: 10.1016/j.amc.2018.04.046

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