Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model-Reference-Cited by-同舟云学术

Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model

Published:2022 Issue:2 Volume:30 Page:440-458
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Yang Yining, ,Liu Yang,Wen Cao,Li Hong,Wang Jinfeng,

Abstract

<abstract><p>In this article, a kind of nonlinear wave model with the Caputo fractional derivative is solved by an efficient algorithm, which is formulated by combining a time second-order shifted convolution quadrature (SCQ) formula in time and a mixed element method in space. The stability of numerical scheme is derived, and an optimal error result for unknown functions which include an original function and two auxiliary functions are proven. Further, the numerical tests are conducted to confirm the theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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