Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Motohisa Osaka
The radial probability distribution of the hydrogen 1s orbital is obtained by multiplying the probability density | ψ | 2 by the surface-area element of a sphere with radius r , 4 π r 2 . By introducing a characteristic time through the Bohr velocity and inte…
Yizhi Yin
Let F k be the (friendship) graph obtained from k triangles by sharing a common vertex. In 2024, Li, Lu, Peng [Discrete Mathematics 346(2023)] show that the unique n -vertex F 2 -free spectral extremal graph is the balanced bipartite graph adding an edge in s…
Ndogotar Nelio, Coumba Diallo
Reliable access to drinking water remains a major challenge for sub-Saharan African cities facing structural, economic, and climatic constraints. This article develops an infinite-dimensional optimization framework for urban water management over an infinite…
Dipta Divakara Pius Purwadaria, Ting Lie, Fong-Ching Yuan
Accurate long-term temperature forecasting is essential for climate-sensitive planning in subtropical regions characterized by pronounced seasonal variability. This study compares two recurrent neural network architectures Long Short-Term Memory (LSTM) and Ga…
Paola Perchinunno, Samuela L’Abbate, Pierluigi Passaro
This study investigates sustainable marketing in food and wine tourism through a stakeholder segmentation approach, aiming to identify homogeneous profiles and interpret alternative strategic visions of territorial positioning. Using data on perceived impact,…
Junrui Yue
For the study of some complex physical, biological and other phenomena, it is difficult for the traditional integer differential equations to describe these processes accurately. In this paper, by means of the Guo-Krasnoselskii fixed point theorem, we study t…
Yushan Yao, Yuhang Guan
The spatio-temporal evolution of wall-bounded turbulence is characterized by high nonlinearity, multi-scale dynamics, and chaotic nature, making its accurate prediction a significant challenge for flow control and drag reduction. This paper proposes a hybrid…
Mohammadali Esmaeilzadeh, Ronald M. Barron, 1 1
The formulation and implementation of a high-order Cartesian cut-stencil finite difference method (CCST-FDM) to 2-D steady incompressible fluid flow in regular and irregular domains is considered in this paper. The CCST-FDM is capable of simulating flows in c…
Motohisa Osaka
From the mass-energy equivalence, the energy of a mass moving with velocity V is given by the zeroth component of its four-momentum. In this study, we re-examine this expression and demonstrate that its mathematical formalism admits an additional speed parame…
Narcisse Batangouna
Phase field models are a fundamental tool in describing phase transition phenomena. In this context, our study focuses on a conserved phase field model, subject to Dirichlet boundary conditions and incorporating regular potentials. The main objective of this…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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