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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…
Sadiya Akhter, Mahtab Uddin Ahmmed
The steady flow behavior in terminal bronchus of human lung for cylindrical channel of porous medium has been studied. The governing equations have been solved analytically and numerically for cylindrical channel. Finite difference method is incorporated to s…
Ying Liu
Grover’s algorithm is a category of quantum algorithms that can be applied to many problems through the exploitation of quantum parallelism. The Amplitude Amplification in Grover’s algorithm is <i>T</i> = O(<math display='inline' xmlns='http://www…
Victor A. Miroshnikov
This paper represents a novel approach to wave turbulence, which may be called exact wave turbulence, since it is based on an exact solution for nonlinear (both resonant and nonresonant) interactions of turbulent waves, which are governed by the nonstationary…
Dan Gabriel Cacuci
This work highlights the unparalleled efficiency of the “n th -Order Function/ Feature Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (n th -FASAM-N) by considering the well-known Nordheim-Fuchs reactor dynamics/safety model. This model descr…
Dan Gabriel Cacuci
This work presents the “n th -Order Feature Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (abbreviated as “n th -FASAM-N”), which will be shown to be the most efficient methodology for computing exact expressions of sensitivities, of any ord…
Ying Liu
Since Grover’s algorithm was first introduced, it has become a category of quantum algorithms that can be applied to many problems through the exploitation of quantum parallelism. The original application was the unstructured search problems with the time com…
Isaac Azure, Japheth Kodua Wiredu, Anas Musah, Eric Akolgo
This research extensively evaluates three leading mathematical soft ware packages: Python, MATLAB, and Scilab, in the context of solving nonlinear systems o f equations with five unknown variables. The study’s core ob jectives inclu de comparing software perf…
Jean Luc Wendkouni Tougma
Formulated in 1859 by the mathematician Bernhard Riemann, the Riemann hypothesis is a conjecture. She says that the Riemann’s Zeta function non-trivial zeros of all have real part . This demonstration would improve the prime numbers distribution knowledge. Th…
Jimmy Chen
As technological innovations in computers begin to advance past their limit (Moore’s law), a new problem arises: What computational device would emerge a fter the classical supercomputers reach their physical limitations? At th is moment in time, quantum comp…
Abdur Rashid, Md. Amirul Islam
In this paper, we have used two reliable approaches (theorems) to find the optim al solutions to transportation problems, using variations in costs. I n real-life scenarios, transportation costs can fluctuate due to different factors. Find ing optimal solutio…
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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.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
Declare all funding sources, conflicts of interest, and ethical approvals (including informed consent and animal-care statements where applicable).