Year: 1990
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 3 : pp. 276–288
Abstract
Theoretical time step constraints of semi-implicit schemes are known to be more restrictive than should be in practice. We intend to alleviate the constraints with more smoothness assumptions on the solutions. By introducing a new scheme with modification on the treatment of the nonlinear term, we are able to prove that the scheme is unconditionally stable and convergent. Furthermore, we show that the modified scheme and the original semi-implicit one are equivalent under a weak condition on the time step and the number of space discretization points.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JCM-9440
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 3 : pp. 276–288
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13