Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
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- 作者：Kolade M. Owolabia ; b ; mkowolax@yahoo.com" class="auth_mail" title="E-mail the corresponding author ; kmowolabi@futa.edu.ng" class="auth_mail" title="E-mail the corresponding author
- 关键词：34A34 ; 35A05 ; 35K57 ; 65L05 ; 65M06 ; 93C10
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：304-317
- 全文大小：4812 K
文摘
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Fourier spectral method is proposed as an alternative to both the predictor-corrector and finite difference schemes.
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Computer simulations show that pattern formation in fractional reaction-diffusion equations is possible.
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Problems that are of practical interest, arising in the application areas of biology, physics and engineering are formulated.
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Different spatiotemporal dynamics are observed and displayed in 1D, 2D and 3D.