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2023 Volume 18, Issue 1

Research article
Conservation laws with discontinuous flux function on networks: a splitting algorithm
Jan Friedrich,  Simone Göttlich,  Annika Uphoff
2023, Volume 18, Issue 1: 1-28. doi: 10.3934/nhm.2023001
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Research article
Asymptotic flocking of the relativistic Cucker–Smale model with time delay
Hyunjin Ahn
2023, Volume 18, Issue 1: 29-47. doi: 10.3934/nhm.2023002
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Research article
Learning the nonlinear flux function of a hidden scalar conservation law from data
Qing Li,  Steinar Evje
2023, Volume 18, Issue 1: 48-79. doi: 10.3934/nhm.2023003
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Research article
Local existence of a solution to a free boundary problem describing migration into rubber with a breaking effect
Kota Kumazaki,  Toyohiko Aiki,  Adrian Muntean
2023, Volume 18, Issue 1: 80-108. doi: 10.3934/nhm.2023004
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Research article
Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity
Caihong Gu,  Yanbin Tang
2023, Volume 18, Issue 1: 109-139. doi: 10.3934/nhm.2023005
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Research article
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows
Raimund Bürger,  Stefan Diehl,  M. Carmen Martí,  Yolanda Vásquez
2023, Volume 18, Issue 1: 140-190. doi: 10.3934/nhm.2023006
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Research article
Pricing stock loans under the L$ \acute{e} $vy-$ \alpha $-stable process with jumps
Congyin Fan,  Wenting Chen,  Bing Feng
2023, Volume 18, Issue 1: 191-211. doi: 10.3934/nhm.2023007
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Research article
Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem
L.L. Sun,  M.L. Chang
2023, Volume 18, Issue 1: 212-243. doi: 10.3934/nhm.2023008
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Research article
The use of Analytical Hierarchy Process in sensor-based networks for security-aware congestion control
Divya Pandey,  Vandana Kushwaha
2023, Volume 18, Issue 1: 244-274. doi: 10.3934/nhm.2023009
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Research article
The dynamics of coupled logistic maps
J.S. Cánovas
2023, Volume 18, Issue 1: 275-290. doi: 10.3934/nhm.2023010
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Research article
Effective difference methods for solving the variable coefficient fourth-order fractional sub-diffusion equations
Zhe Pu,  Maohua Ran,  Hong Luo
2023, Volume 18, Issue 1: 291-309. doi: 10.3934/nhm.2023011
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Research article
Central schemes for networked scalar conservation laws
Michael Herty,  Niklas Kolbe,  Siegfried Müller
2023, Volume 18, Issue 1: 310-340. doi: 10.3934/nhm.2023012
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Research article
Synchronization of nonautonomous neural networks with Caputo derivative and time delay
Lili Jia,  Changyou Wang,  Zongxin Lei
2023, Volume 18, Issue 1: 341-358. doi: 10.3934/nhm.2023013
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Research article
The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation
Tong Yan
2023, Volume 18, Issue 1: 359-379. doi: 10.3934/nhm.2023014
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Research article
Nonlocal scalar conservation laws with discontinuous flux
Felisia Angela Chiarello,  Giuseppe Maria Coclite
2023, Volume 18, Issue 1: 380-398. doi: 10.3934/nhm.2023015
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Research article
A high-order linearly implicit energy-preserving Partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations
Jin Cui,  Yayun Fu
2023, Volume 18, Issue 1: 399-411. doi: 10.3934/nhm.2023016
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Research article
Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays
Dingwen Deng,  Jingliang Chen
2023, Volume 18, Issue 1: 412-443. doi: 10.3934/nhm.2023017
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Research article
A novel multiscale hybrid neural network for intelligent fine-grained fault diagnosis
Chuanjiang Li,  Shaobo Li,  Lei Yang,  Hongjing Wei,  Ansi Zhang,  Yizong Zhang
2023, Volume 18, Issue 1: 444-462. doi: 10.3934/nhm.2023018
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Research article
Structure-preserving scheme for one dimension and two dimension fractional KGS equations
Junjie Wang,  Yaping Zhang,  Liangliang Zhai
2023, Volume 18, Issue 1: 463-493. doi: 10.3934/nhm.2023019
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Research article
SLeNN-ELM: A shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine
Yinlin Ye,  Yajing Li,  Hongtao Fan,  Xinyi Liu,  Hongbing Zhang
2023, Volume 18, Issue 1: 494-512. doi: 10.3934/nhm.2023020
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Networks and Heterogeneous Media
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