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Special Issue: Numerical analysis and Applied Mathematical Modelling

Guest Editor

Dr. OPhir Nave
Department of Mathematics and Computer Science, Jerusalem College of Technology, Israel
Email: ophirn@g.jct.ac.il

Manuscript Topics


In this special issue we are interested in applied mathematics and computation from all fields of science, such as biology, chemistry, physics. We are especially interested in mathematical modeling of problems from cancer treatment, i.e., mathematical models that consider the interaction of a cancer tumor with the immune system and the treatment itself, chemotherapy and immunotherapy. This includes cancer of any type that can be mathematically modeled such as bladder cancer, breast cancer, prostate cancer, liver cancer, brain cancer, cervical cancer and more.
The proposed methods to investigate these models will mainly be innovative numerical methods,  semi-analytic methods, analytical methods and asymptotical methods.
Another important issue in cancer research is the stability of equilibrium points of the variables of the mathematical model.
Any paper that is submitted to the special issue needs to include practical examples.
Another important topic of the current special issue is machine learning, and its applications in  working with big data related to the cancer tumors mentioned above.


The following is a non-exhaustive list of topics for this special issue:
• Mathematical modeling of cancer treatment
• Immunotherapy and chemotherapy treatment.
• Asymptotic analysis
• Numerical methods, numerical computation
• Research on fractional differential equations, bifurcation, and numerical methods.
• Ordinary differential equations
• Partial differential equations.
• Machine learning, big data


Instruction for Authors
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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2023

Published Papers(23)

Research article
Analytical modeling of 2D groundwater flow in a semi-infinite heterogeneous domain with variable lateral sources
Ping-Cheng Hsieh Po-Wen Yu Ming-Chang Wu
2024, Volume 9, Issue 4: 10121-10140. doi: 10.3934/math.2024495
Abstract HTML PDF Cited (1) Viewed (1414)
Research article
An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform
Manoj Singh Ahmed Hussein Msmali Mohammad Tamsir Abdullah Ali H. Ahmadini
2024, Volume 9, Issue 4: 8776-8802. doi: 10.3934/math.2024426
Abstract HTML PDF Cited (6) Viewed (1522)
Research article
Local convergence study of tenth-order iterative method in Banach spaces with basin of attraction
Kasmita Devi Prashanth Maroju
2024, Volume 9, Issue 3: 6648-6667. doi: 10.3934/math.2024324
Abstract HTML PDF Cited (2) Viewed (1254)
Research article
The Rishi Transform method for solving multi-high order fractional differential equations with constant coefficients
Ali Turab Hozan Hilmi Juan L.G. Guirao Shabaz Jalil Nejmeddine Chorfi Pshtiwan Othman Mohammed
2024, Volume 9, Issue 2: 3798-3809. doi: 10.3934/math.2024187
Abstract HTML PDF Cited (4) Viewed (1718)
Research article
Numerical treatment for time fractional order phytoplankton-toxic phytoplankton-zooplankton system
D. Priyadarsini P. K. Sahu M. Routaray D. Chalishajar
2024, Volume 9, Issue 2: 3349-3368. doi: 10.3934/math.2024164
Abstract HTML PDF Viewed (1413)
Research article
Solitary wave solutions of Sawada-Kotera equation using two efficient analytical methods
Muhammad Bilal Riaz Faiza Naseer Muhammad Abbas Magda Abd El-Rahman Tahir Nazir Choon Kit Chan
2023, Volume 8, Issue 12: 31268-31292. doi: 10.3934/math.20231601
Abstract HTML PDF Cited (1) Viewed (2297)
Research article
Unification of Adomian decomposition method and ZZ transformation for exploring the dynamics of fractional Kersten-Krasil'shchik coupled KdV-mKdV systems
Yousef Jawarneh Humaira Yasmin Abdul Hamid Ganie M. Mossa Al-Sawalha Amjid Ali
2024, Volume 9, Issue 1: 371-390. doi: 10.3934/math.2024021
Abstract HTML PDF Cited (9) Viewed (2126)
Research article
Influence of nonuniform recharge on groundwater flow in heterogeneous aquifers
Ming-Chang Wu Ping-Cheng Hsieh
2023, Volume 8, Issue 12: 30120-30141. doi: 10.3934/math.20231540
Abstract HTML PDF Viewed (1424)
Research article
The a posteriori error estimate in fractional differential equations using generalized Jacobi functions
Bo Tang Huasheng Wang
2023, Volume 8, Issue 12: 29017-29041. doi: 10.3934/math.20231486
Abstract HTML PDF Viewed (1397)
Research article
Conformable finite element method for conformable fractional partial differential equations
Lakhlifa Sadek Tania A Lazǎr Ishak Hashim
2023, Volume 8, Issue 12: 28858-28877. doi: 10.3934/math.20231479
Abstract HTML PDF Cited (4) Viewed (1792)
Research article
Semi-supervised graph regularized concept factorization with the class-driven constraint for image representation
Yuelin Gao Huirong Li Yani Zhou Yijun Chen
2023, Volume 8, Issue 12: 28690-28709. doi: 10.3934/math.20231468
Abstract HTML PDF Viewed (1264)
Research article
Novel codynamics of the HIV-1/HTLV-Ⅰ model involving humoral immune response and cellular outbreak: A new approach to probability density functions and fractional operators
Hanan S. Gafel Saima Rashid Sayed K. Elagan
2023, Volume 8, Issue 12: 28246-28279. doi: 10.3934/math.20231446
Abstract HTML PDF Cited (6) Viewed (1555)
Research article
Exploring optical soliton solutions of the time fractional q-deformed Sinh-Gordon equation using a semi-analytic method
Khalid K. Ali Mohamed S. Mohamed M. Maneea
2023, Volume 8, Issue 11: 27947-27968. doi: 10.3934/math.20231429
Abstract HTML PDF Cited (9) Viewed (1673)
Research article
A successive midpoint method for nonlinear differential equations with classical and Caputo-Fabrizio derivatives
Abdon Atangana Seda İğret Araz
2023, Volume 8, Issue 11: 27309-27327. doi: 10.3934/math.20231397
Abstract HTML PDF Cited (6) Viewed (1332)
Research article
New algorithms for solving nonlinear mixed integral equations
R. T. Matoog M. A. Abdou M. A. Abdel-Aty
2023, Volume 8, Issue 11: 27488-27512. doi: 10.3934/math.20231406
Abstract HTML PDF Cited (6) Viewed (2346)
Research article
Numerical simulation and analysis of fractional-order Phi-Four equation
Azzh Saad Alshehry Humaira Yasmin Rasool Shah Roman Ullah Asfandyar Khan
2023, Volume 8, Issue 11: 27175-27199. doi: 10.3934/math.20231390
Abstract HTML PDF Cited (2) Viewed (1418)
Research article
Analyzing a SEIR-Type mathematical model of SARS-COVID-19 using piecewise fractional order operators
Nadiyah Hussain Alharthi Mdi Begum Jeelani
2023, Volume 8, Issue 11: 27009-27032. doi: 10.3934/math.20231382
Abstract HTML PDF Cited (1) Viewed (1766)
Research article
Tensor Conjugate-Gradient methods for tensor linear discrete ill-posed problems
Hong-Mei Song Shi-Wei Wang Guang-Xin Huang
2023, Volume 8, Issue 11: 26782-26800. doi: 10.3934/math.20231371
Abstract HTML PDF Cited (3) Viewed (1427)
Research article
Numerical analysis of fractional heat transfer and porous media equations within Caputo-Fabrizio operator
Yousef Jawarneh Humaira Yasmin M. Mossa Al-Sawalha Rasool Shah Asfandyar Khan
2023, Volume 8, Issue 11: 26543-26560. doi: 10.3934/math.20231356
Abstract HTML PDF Cited (4) Viewed (1486)
Research article
Fractional comparative analysis of Camassa-Holm and Degasperis-Procesi equations
Yousef Jawarneh Humaira Yasmin M. Mossa Al-Sawalha Rasool Shah Asfandyar Khan
2023, Volume 8, Issue 11: 25845-25862. doi: 10.3934/math.20231318
Abstract HTML PDF Cited (5) Viewed (1671)
Research article
Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators
Aqeel Ahmad Cicik Alfiniyah Ali Akgül Aeshah A. Raezah
2023, Volume 8, Issue 11: 25654-25687. doi: 10.3934/math.20231309
Abstract HTML PDF Cited (3) Viewed (1921)
Research article
Stability and bifurcation analysis of a multi-delay model for mosaic disease transmission
Fahad Al Basir Konstantin B. Blyuss Ezio Venturino
2023, Volume 8, Issue 10: 24545-24567. doi: 10.3934/math.20231252
Abstract HTML PDF Cited (2) Viewed (1695)
Research article
The solutions of two classes of dual matrix equations
Yinlan Chen Min Zeng Ranran Fan Yongxin Yuan
2023, Volume 8, Issue 10: 23016-23031. doi: 10.3934/math.20231171
Abstract HTML PDF Cited (2) Viewed (1858)