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SLeNN-ELM: A shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine
Author: Ye, Yinlin; Li, Yajing; Fan, Hongtao; Liu, Xinyi; Zhang, Hongbing
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 494-512. DOI: 10.3934/nhm.2023020
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The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation
Author: Yan, Tong
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 359-379. DOI: 10.3934/nhm.2023014
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A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes
Author: Xiao, Liuchao; Li, Wenbo; Wei, Leilei; Zhang, Xindong
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 2, pp. 532-546. DOI: 10.3934/nhm.2023022
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Structure-preserving scheme for one dimension and two dimension fractional KGS equations
Author: Wang, Junjie; Zhang, Yaping; Zhai, Liangliang
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 463-493. DOI: 10.3934/nhm.2023019
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Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem
Author: Sun, L. L.; Chang, M. L.
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 212-243. DOI: 10.3934/nhm.2023008
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Effective difference methods for solving the variable coefficient fourth-order fractional sub-diffusion equations
Author: Pu, Zhe; Ran, Maohua; Luo, Hong
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 291-309. DOI: 10.3934/nhm.2023011
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Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation
Author: Liu, Li-Bin; Liao, Yige; Long, Guangqing
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 2, pp. 547-561. DOI: 10.3934/nhm.2023023
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A novel multiscale hybrid neural network for intelligent fine-grained fault diagnosis
Author: Li, Chuanjiang; Li, Shaobo; Yang, Lei; Wei, Hongjing; Zhang, Ansi; Zhang, Yizong
Journal: NETWORKS AND HETEROGENEOUS MEDIA. 2023; Vol. 18, Issue 1, pp. 444-462. DOI: 10.3934/nhm.2023018
