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Special Issue: Numerical Simulation and Mathematical Modelling

Guest Editors

Prof. Carlo Cattani
Engineering School, DEIM, University of Tuscia, P.le dell’Università, 01100 Viterbo, Italy
Email: cattani@unitus.it


Prof. Junying Cao
School of Data Science and Information Engineering, Guizhou Minzu University, 550025 Guiyang, China
Email: caojunying@gzmu.edu.cn


Dr. Zhao-Li Shen
College of Science, Sichuan Agricultural University, Ya’an, Sichuan 625000, PR China
Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, AK Groningen 9700, The Netherlands
Email: szlxiaoyao@163.com

Manuscript Topics

This special issue is focusing on the modern approach for modelling mathematical problems by using numerical methods and suitable computer simulations. Because of the complexity of some mathematical problems, some problems don’t have analytical solutions, some problems are solved by some infinite series and some others do not have any solution but can be characterized by a suitable computer simulation. In fact, the interpretation and modellization both of the numerical approximations or the featuring parameters might lead to a better comprehension to the results of a problem. Thus, a suitable theoretical model should be compared and tested with some computer simulations and numerical analysis of data. To this aim, prospective authors are solicited to submit original papers mainly dealing, but not limited, to the following topics:
• Integer or fractional order dynamical systems.
• Image analysis.
• Data analysis.
• Numerical methods and computer simulation for the solution of integer or fractional order differential problems.
• Numerical methods and computer simulation for the solution of integer or fractional order integral problems.
• Fractals.
• Numerical methods and computer simulation for the solution of stochastic problems.


Instructions for authors
https://www.aimspress.com/nhm/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2024

Published Papers(16)

Research article
The shifted wavelet (q,q)-entropy and the classification of stationary fractal signals
Julio César Ramírez Pacheco Joel Antonio Trejo-Sánchez Luis Rizo-Domínguez
2025, Volume 20, Issue 1: 89-103. doi: 10.3934/nhm.2025006
Abstract HTML PDF Viewed (373)
Research article
A fully discrete HDG ensemble Monte Carlo algorithm for a heat equation under uncertainty
JinJun Yong Changlun Ye Xianbing Luo
2025, Volume 20, Issue 1: 65-88. doi: 10.3934/nhm.2025005
Abstract HTML PDF Viewed (399)
Research article
Theory of Krylov subspace methods based on the Arnoldi process with inexact inner products
Meng Su Chun Wen Zhao-Li Shen Stefano Serra-Capizzano
2025, Volume 20, Issue 1: 15-34. doi: 10.3934/nhm.2025002
Abstract HTML PDF Viewed (570)
Research article
On randomized multiple row-action methods for linear feasibility problems
Hui Song Wendi Bao Lili Xing Weiguo Li
2024, Volume 19, Issue 4: 1448-1469. doi: 10.3934/nhm.2024062
Abstract HTML PDF Viewed (551)
Research article
Estimation of P(X<Y) for Fréchet, reversed Weibull and Weibull distributions: Analytical expressions, simulations and applications
Tiago A. da Fonseca Felipe S. Quintino Luan C. S. M. Ozelim Pushpa N. Rathie
2024, Volume 19, Issue 4: 1424-1447. doi: 10.3934/nhm.2024061
Abstract HTML PDF Viewed (555)
Research article
Dynamic analysis and optimal control of leptospirosis based on Caputo fractional derivative
Ling Zhang Xuewen Tan Jia Li Fan Yang
2024, Volume 19, Issue 3: 1262-1285. doi: 10.3934/nhm.2024054
Abstract HTML PDF Viewed (603)
Theroy article
Projective synchronization for quaternion-valued memristor-based neural networks under time-varying delays
Jun Guo Yanchao Shi Yanzhao Cheng Weihua Luo
2024, Volume 19, Issue 3: 1156-1181. doi: 10.3934/nhm.2024051
Abstract HTML PDF Viewed (692)
Research article
Joint optimization of location and allocation for spare parts depots under (r,Q) inventory policy
Yaojun Liu Li Jia Ping Wang Xiaolin Song
2024, Volume 19, Issue 3: 1038-1057. doi: 10.3934/nhm.20240046
Abstract HTML PDF Viewed (789)
Research article
A variational MAX ensemble numerical algorism for a transient heat model with random inputs
Tingfu Yao Changlun Ye Xianbing Luo Shuwen Xiang
2024, Volume 19, Issue 3: 1013-1037. doi: 10.3934/nhm.2024045
Abstract HTML PDF Viewed (738)
Research article
Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems
Huanhuan Li Meiling Ding Xianbing Luo Shuwen Xiang
2024, Volume 19, Issue 2: 842-866. doi: 10.3934/nhm.2024038
Abstract HTML PDF Cited (1) Viewed (861)
Research article
Natural convection flow and heat transfer of generalized Maxwell fluid with distributed order time fractional derivatives embedded in the porous medium
Jinhu Zhao
2024, Volume 19, Issue 2: 753-770. doi: 10.3934/nhm.2024034
Abstract HTML PDF Viewed (1005)
Research article
Numerical analysis of stretching/shrinking fully wet trapezoidal fin
Sharif Ullah Obaid J. Algahtani Zia Ud Din Amir Ali
2024, Volume 19, Issue 2: 682-699. doi: 10.3934/nhm.2024030
Abstract HTML PDF Viewed (1087)
Research article
Acceleration of solving drift-diffusion equations enabled by estimation of initial value at nonequilibrium
Chunlin Du Yu Zhang Haolan Qu Haowen Guo Xinbo Zou
2024, Volume 19, Issue 1: 456-474. doi: 10.3934/nhm.2024020
Abstract HTML PDF Viewed (1405)
Research article
A class of pseudoinverse-free greedy block nonlinear Kaczmarz methods for nonlinear systems of equations
Ying Lv Li-Li Xing Wen-Di Bao Wei-Guo Li Zhi-Wei Guo
2024, Volume 19, Issue 1: 305-323. doi: 10.3934/nhm.2024014
Abstract HTML PDF Cited (1) Viewed (1058)
Research article
On rotavirus infectious disease model using piecewise modified ABC fractional order derivative
Eiman Kamal Shah Muhammad Sarwar Thabet Abdeljawad
2024, Volume 19, Issue 1: 214-234. doi: 10.3934/nhm.2024010
Abstract HTML PDF Cited (5) Viewed (1373)
Research article
Application of a hybrid pseudospectral method to a new two-dimensional multi-term mixed sub-diffusion and wave-diffusion equation of fractional order
Farman Ali Shah Kamran Dania Santina Nabil Mlaiki Salma Aljawi
2024, Volume 19, Issue 1: 44-85. doi: 10.3934/nhm.2024003
Abstract HTML PDF Cited (5) Viewed (1373)