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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…
Qiuye Zhu, Jiaqing Wu, Yinkui Li
Graph burning is a model to describe the spread of social influence. In 2023, Song et al. proposed the Independent Cascade Graph Burning model, where a vertex v can be burned by its burning neighbors u and the influence that u gives to v is larger than a give…
Shujuan Niu, Shuangping Tao
This paper offers a novel portrayal of the generalized Campanato space with variable exponents. By introducing the position-dependent weight function ω ( x , r ) , the generalized variable exponent Campanato space significantly increases its flexibility and p…
Samuela L’Abbate, Paola Perchinunno, Antonella Massari, Corrado Crocetta, Leonardo Salvatore Alaimo
This work describes a data integration model using the Statistical Matching methodology (hot deck distance) to integrate two surveys conducted by ISTAT (EU-SILC) and the Bank of Italy (Household Income Survey). The construction of an integrated database based…
Karan S. Surana, Sri Sai Charan Mathi
This paper presents constitutive theories for linear micromorphic microcontinuum thermoviscoelastic solids in which elasticity and dissipation are considered for the microconstituents, the solid medium and the interaction between the microconstituents and the…
Belgacem Al-Azem, Ali Nadim
Chemotaxis is the directed movement of cells or organisms in response to a chemical gradient. This process is critical in many biological systems. In the context of cancer, chemotaxis plays a significant role in how cancer cells migrate and invade surrounding…
Sree Pradip Kumer Sarker, Md. Mahmud Alam
This study presents a numerical investigation of magnetohydrodynamic (MHD) natural convection in a nanofluid-filled trapezoidal cavity, focusing on the combined effects of internal obstacle shape, wall corrugation, and inclination angle. Using Cu-H 2 O nanofl…
Taiki Takahashi
Recent advances in behavioral economics elucidated a number of deviations of actual human decisions and choices from mathematical principles of normative decision theory in neoclassical economics. This study demonstrates, by utilizing the mathematical model o…
Bo Liu, Lijuan Wang
In this paper, we derive a second-order Crank-Nicolson finite-difference scheme for the three-dimensional Allen-Cahn equation and present an estimate of the scheme’s truncation error. We prove the existence of the numerical solution and establish stepwise uni…
Bongor Danhree, Koina Rodoumta
First, the necessary mathematical tools are recalled regarding the concepts of stochastic control processes, including stochastic optimal control and one of its fundamental principles, the minimization principle. Then, a new controlled stochastic model of COV…
Motohisa Osaka
Power generation from hydrogen fusion is the ultimate benefit for humanity. The achievement by National Ignition Facility (NIF) in 2022 of producing energy exceeding the input energy using lasers was a great step forward. However, since the laser was applied…
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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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