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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre…
K. S. Surana, J. Abboud
A posteriori error computations in the space-time coupled and space-time decoupled finite element methods for initial value problems are essential: 1) to determine the accuracy of the computed evolution, 2) if the errors in the coupled solutions are higher th…
Hunida Malaikah, Jawaher Faisal Al-Abdali
This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a fractional-order framework by incorporating the Caputo fractional-order oper…
Haiduke Sarafian
It is common sense to assume, under the influence of modified Hooke law, that a spring-mass system should oscillate. A systematic numeric analysis proves otherwise. We have proven that the mentioned modified force subject to k x n for even n integers fails to…
Victor A. Miroshnikov
To explore experimental quantization of stochastic chaos and exact wave turbulence in exponential oscillons, it is necessary to construct smooth random functions of time. In the current paper, we develop a new method of modeling stochastic variables described…
Aiman Arshad, Muhammad Nauman Shabbir, Syeda Hina Zainab, Aqsa Sattar, Muhammad Javaid
Topological indices (TIs) have been found to be extensively useful in describing and simulating the chemical structure of diverse molecular compounds, including dendrimers, nanotubes, and neural networks. Dendrimers represent a distinct class of well-defined,…
Vardges Melkonian
This paper gives integer linear programming (ILP) models for scheduling the League Phase of one of the most popular professional club competitions in the world, UEFA Champion’s League. There are 36 teams in the competition, but each team plays only 8 other te…
Nasreen Almohanna, Khawlah Alhulwah
A graph labeling is the assigning of labels to the vertices, edges, or both (usually non-negative integers), often satisfying some prescribed requirements. This terminology has become standard. A graph G 's edges can be colored by assigning a different color…
Ebimene James Mamadu, Henrietta Ify Ojarikre, Daniel Chinedu Iweobodo, Ebikonbo-Owei Anthony Mamadu, Jonathan Tsetimi, Ignatius Nkonyeasua Njoseh
Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making of assumptions has had a significant influence on the accuracy of the…
Jean Claude Njiki
The purpose of the research in the NJIKI ’s fundamental THEOREM-DEFINITION on fractions in the mathematical set ℚ and by extension in ℝ and ℂ and in order to construct some algebraic structures is about the proved EXISTENCE and the DEFINITION by NJIKI of two…
Yoshihiro Tanaka
It is well established that Nash equilibrium exists within the framework of mixed strategies in strategic-form non-cooperative games. However, finding the Nash equilibrium generally belongs to the class of problems known as PPAD (Polynomial Parity Argument on…
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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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