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Application of discrete fourier transforms to a fourth-order diffusion equation

Authors
Journal
Computers & Chemical Engineering
0098-1354
Publisher
Elsevier
Publication Date
Volume
14
Issue
10
Identifiers
DOI: 10.1016/0098-1354(90)85003-s
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract A discrete Fourier transform technique was used to solve a time-dependent, partial differential equation in one and two spatial dimensions. The NBCH equation governs the time evolution of morphology in binary polymer—polymer systems that phase separate by spinodal decomposition. It is nonlinear and fourth-order in the spatial derivatives. The solution algorithm is suitable for vector processing and is readily extendable to three spatial dimensions and to other governing equations.

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