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Stability of two-level difference schemes for a class of non-linear parabolic equations

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Abstract
The purpose of this paper is to establish a condition of stability for a family of two-level finite difference approximations to a class of non-linear parabolic differential equations. This condition generalizes similar results obtained for the linear case with constant coefficients.
Keywords
stability, parabolic equations, non-linear, two-level difference

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MLA
D’Hollander, Erik. “Stability of Two-Level Difference Schemes for a Class of Non-Linear Parabolic Equations.” APPLIED MATHEMATICAL MODELLING, vol. 1, no. 5, 1977, pp. 281–82.
APA
D’Hollander, E. (1977). Stability of two-level difference schemes for a class of non-linear parabolic equations. APPLIED MATHEMATICAL MODELLING, 1(5), 281–282.
Chicago author-date
D’Hollander, Erik. 1977. “Stability of Two-Level Difference Schemes for a Class of Non-Linear Parabolic Equations.” APPLIED MATHEMATICAL MODELLING 1 (5): 281–82.
Chicago author-date (all authors)
D’Hollander, Erik. 1977. “Stability of Two-Level Difference Schemes for a Class of Non-Linear Parabolic Equations.” APPLIED MATHEMATICAL MODELLING 1 (5): 281–282.
Vancouver
1.
D’Hollander E. Stability of two-level difference schemes for a class of non-linear parabolic equations. APPLIED MATHEMATICAL MODELLING. 1977;1(5):281–2.
IEEE
[1]
E. D’Hollander, “Stability of two-level difference schemes for a class of non-linear parabolic equations,” APPLIED MATHEMATICAL MODELLING, vol. 1, no. 5, pp. 281–282, 1977.
@article{2154162,
  abstract     = {{The purpose of this paper is to establish a condition of stability for a family of two-level finite difference approximations to a class of non-linear parabolic differential equations. This condition generalizes similar results obtained for the linear case with constant coefficients.}},
  author       = {{D'Hollander, Erik}},
  issn         = {{0307-904X}},
  journal      = {{APPLIED MATHEMATICAL MODELLING}},
  keywords     = {{stability,parabolic equations,non-linear,two-level difference}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{281--282}},
  title        = {{Stability of two-level difference schemes for a class of non-linear parabolic equations}},
  volume       = {{1}},
  year         = {{1977}},
}