ArticlesArchiveAboutEditorial BoardAuthor Guidelines
Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
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…
Aishah Alsulami, Mariam Al-Mazmumy, Huda Bakodah, Nawal Alzaid
The current manuscript makes use of the prominent iterative procedure , called the Adomian Decomposition Method (ADM), to tackle some important spe cial differential equations. The equations of curiosity in this study are the sin gular equations that arise in…
Haiduke Sarafian
Two cubical 3D electric circuits with single and double capacitors and twelve ohmic resistors are considered. The resistors are the sides of the cube. The circuit is fed with a single internal emf. The charge on the capacitor(s) and the current distributions…
David C. Kay
The author makes the claim to have a solution for the famous 3 x + 1 problem. The key to its solution is a special proof that the term (3 + ε ) r is a non-integer, as well as the use of properties of extremal points of a Collatz sequence.
Edward J. Kansa
Continuously differentiable radial basis functions ( C ∞ -RBFs ), while being theoretically exponentially convergent are considered impractical computationally because the coefficient matrices are f ull and can become very ill- conditioned. Similarly, the Hil…
Salvador Bermúdez Gómez
The 3 x + 1 problem, is a math problem that has baffled mathematicians for over 50 years. It’s easy to explain: take any positive number, if it’s even, divide it by 2; if it’s odd, multiply it by 3 and add 1. Repeat this process with the resulting number, and…
Haiduke Sarafian
This report addresses the issues concerning the analysis of an electric circuit composed of multiple resistors configured in a 3-Dimension structure. Noting, all the standard textbooks of physics and engineering irrespective of the used components are circuit…
Zhaoteng Chu, Ziqi Yan, Chenliang Li
In this paper, a new extrapolation economy cascadic multigrid method is proposed to solve the image restoration model. The new method combines the new extrapolation formula and quadratic interpolation to design a nonlinear prolongation operator, which provide…
Ruixian Fang, Dan Gabriel Cacuci
This work illustrates the innovative results obtained by applying the recen tly developed the 2 nd -order predictive modeling methodology called “2 nd - BERRU-PM”, where the acronym BERRU denotes “best-estimate results with reduced uncertainties” and “PM” den…
Dan Gabriel Cacuci
This work presents a comprehensive second-order predictive modeling (PM) methodology based on the maximum entropy (MaxEnt) principle for obtaining best-estimate mean values and correlations for model responses and parameters. This methodology is designated by…
Dan Gabriel Cacuci
This work presents a comprehensive second-order predictive modeling (PM) methodology designated by the acronym 2 nd -BERRU-PMD . The attribute “2 nd ” indicates that this methodology incorporates second-order uncertainties (means and covariances) and second-o…
No articles in this issue.
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).