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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…
Md. Amirul Islam, Nazmun Nahar, S. M. Kamal Hossain
This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work focuses on a class of nonlinear boundary value problems that commonly…
Sree Pradip Kumer Sarker, Mohammad Mahmud Alam
This study presents a comprehensive numerical investigation of magnetohydrodynamic (MHD) heat transfer within a trapezoidal cavity filled with a Cu–H 2 O nanofluid and containing two symmetrically embedded square heat sources. The effects of varying nanoparti…
Khandoker Nasrin Ismet Ara, Md. Sabbir Alam, Laek Sazzad Andallah
A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and fourth orders are used to solve the system of ODEs. We compute the ADE n…
Elijah Adejare Akande, Nathaniel Kayode Oladejo
Gravity fed drip irrigation system fitted with a clogged drip line was assembled with the intention of investigating the ability to remove, inhibit and clear clogging resulting from continuous usage of the drip line over the year. Phytochemicals extracted fro…
Haiduke Sarafian
A cylindrical capacitor’s electric field of non-concentric double circular shells is determined and graphed by applying conformal mapping. It is demonstrated, using the Computer Algebra System (CAS) Mathematica , primarily numerically, how the lack of symmetr…
Saika Mahjabin, Md. Abdul Alim
Free convection of Magnetohydrodynamic (MHD) fluid, seeded with nanoparticles, in a square cavity with a heated cone inside, has been investigated numerically in this work. The mathematical model is developed by combining the mass, momentum and energy equatio…
John R. Crary
This paper presents the development of a conceptual model of the universe, grounded in the Fine Structure Constant ( α ≈ 137.036). The Extended Fine Structure Constant (eFSC) Model explores α as a function of twin prime microverses (U{137}, where α = 137, and…
Edward J. Kansa, Pavel Holobvorodko
We solve numerically an eigenvalue elliptic partial differential equation (PDE) ranging from two to six dimensions using the generalized multiquadric (GMQ) radial basis functions (RBFs). Two discretization methods are employed. The first method is similar to…
Aiman Arshad, Syeda Hina Zainab, Aqsa Sattar
The theory of networks provides a mathematical basis for building and modeling the chemical structures and complex networks. Topological indices (TIs) are employed in several physicochemical applications, particularly for characterizing and modeling the chemi…
Zahra Mousa Albariqi, Lama Shujaa Aljoufi, Rawan Ali Aldosary, Ashwaq Atallah Alharbi, Hanan Ali Batarfi
In this paper, we investigate the dynamic behaviour of a mathematical model of cancer that includes immune cells, tumor cells, and normal cells, and explore the effects of the introduction of a delayed term of targeted therapy on the model. This model was fir…
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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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