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Special Issue: Analysis of Analytical, Computational and Machine Learning based Approaches for Differential and Integral Equations

Guest Editors

Professor Higinio Ramos
Professor, Department of Applied Mathematics, University of Salamanca, Salamanca, Spain
Email: higra@usal.es


Dr. Pratibhamoy Das
Assistant Professor, Department of Mathematics, Indian Institute of Technology, Patna, India
Email: pratibhamoy@iitp.ac.in

Manuscript Topics

This special issue will be focused on two major core subjects of Mathematics—Differential equations and Numerical Analysis. The expertise can include: Analytical prospects and numerical methods for system of coupled problems, nonlocal fractional differential equations, singularly perturbed problems, singular ODEs/PDEs, Integro differential equations, Integral equations, problems having nonsmooth or noncompatible data, or any concrete applied models having complicated structure/domains. The focus can be given to the qualitive properties, such as existence, uniqueness, stability; and properties of the solution with its analyticity. Focus can be also given to the numerical approximation of these types of differential equations. Any other works relevant to the core subject of Differential equations and Numerical Analysis, are also welcome.


Key Topics:
• Numerical methods for differential equations
• Higher order approximations
• Wellposedness properties of fractional differential equations
• Qualitative properties for fractional differential equations
• Approximation of differential/fractional/integral equations
• Applications of Differential Equations


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 30 June 2026

Published Papers(8)

Research article
A machine learning solutions approach of a time-delayed stochastic ˜S˜E˜I˜R˜V model
Mostafa Zahri Inayat khan Rahat Zarin Amir khan Rukhsar Ikram
2025, Volume 20, Issue 2: 701-731. doi: 10.3934/nhm.2025030
Abstract HTML PDF Viewed (91)
Research article
A novel improved deep learning model based on Bi-LSTM algorithm for intrusion detection in WSN
Ra'ed M. Al-Khatib Laila Heilat Wala Qudah Salem Alhatamleh Asef Al-Khateeb
2025, Volume 20, Issue 2: 532-565. doi: 10.3934/nhm.2025024
Abstract HTML PDF Viewed (208)
Research article
Efficient numerical schemes for variable-order mobile-immobile advection-dispersion equation
Leqiang Zou Yanzi Zhang
2025, Volume 20, Issue 2: 387-405. doi: 10.3934/nhm.2025018
Abstract HTML PDF Viewed (344)
Research article
Solutions of a class of higher order variable coefficient homogeneous differential equations
Peng E Tingting Xu Linhua Deng Yulin Shan Miao Wan Weihong Zhou
2025, Volume 20, Issue 1: 213-231. doi: 10.3934/nhm.2025011
Abstract HTML PDF Viewed (713)
Research article
Higher-order convergence analysis for interior and boundary layers in a semi-linear reaction-diffusion system networked by a k-star graph with non-smooth source terms
Dilip Sarkar Shridhar Kumar Pratibhamoy Das Higinio Ramos
2024, Volume 19, Issue 3: 1085-1115. doi: 10.3934/nhm.2024048
Abstract HTML PDF Cited (24) Viewed (1432)
Research article
New wave behaviors and stability analysis for magnetohydrodynamic flows
Shengfang Yang Huanhe Dong Mingshuo Liu
2024, Volume 19, Issue 2: 887-922. doi: 10.3934/nhm.2024040
Abstract HTML PDF Viewed (913)
Research article
Solving scalar reaction diffusion equations with cubic non-linearity having time-dependent coefficients by the wavelet method of lines
Aslam Khan Abdul Ghafoor Emel Khan Kamal Shah Thabet Abdeljawad
2024, Volume 19, Issue 2: 634-654. doi: 10.3934/nhm.2024028
Abstract HTML PDF Cited (3) Viewed (1343)
Review
A brief review on stability investigations of numerical methods for systems of stochastic differential equations
Henri Schurz
2024, Volume 19, Issue 1: 355-383. doi: 10.3934/nhm.2024016
Abstract HTML PDF Cited (2) Viewed (1541)