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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…
Joachim Moussounda Mouanda
We construct sequences of positive integers which are solutions of the equation x 2 +y 2 =z 2 . We introduce Mouanda’s choice functions which allow us to construct galaxies of sequences of positive integers. We give many examples of galaxies of numbers. We sh…
Dan Gabriel Cacuci
This work presents the application of the recently developed “Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5 th -CASAM-N)” to a simplified Bernoulli model. The 5 th -CASAM-N builds upon and incorporates all of the…
Karan S. Surana, Michael D. Kitchen
This paper demonstrates the existence, propagation, transmission, reflection, and interaction of deviatoric stress waves in polymeric fluids for which the mathematical models are derived using conservation and balance laws (CBL) of Classical Continuum Mechani…
Haiduke Sarafian
Utilizing Mathematica this report shows how from a practitioner’s point of view useful quantities some known, and some unknown and fresh properties about the Maxwell-Boltzmann distribution are calculated. We shortcut circling the usage of antiquated incomplet…
Dan Gabriel Cacuci
This work presents the mathematical framework of the “Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5 th -CASAM-N),” which generalizes and extends all of the previous works performed to date on this subject. The 5 t…
Arju Ara Runa, Md. Abdul Alim, Md. Shahidul Alam, Kazi Humayun Kabir
The phenomena of magneto-hydrodynamic natural convection in a two - dime nsional semicircular top enclosure with triangular obstacle in the rectangular cavity w ere studied numerically. The governing differential equations are solved by using the most importa…
Haiduke Sarafian
Frequencies of the repeated integers of the first n digits of e.g. π utilizing commercial software are listed. The discrete distribution is utilized to evaluate its statistical moments. The distribution is fitted with a polynomial generating a continuous repl…
Nawal Odah Al-Atawi, Daoud Suleiman Mashat
The impact of certain separate characteristics, including the porosity parameter, reaction rate parameter, and viscoelastic parameters of steady convective diffusion across a rectangular channel, has been investigated in this article. The model’s momentum and…
Haiduke Sarafian
Oscillations due to three different forces in three areas of physics : electrostatic, nuclear, and mechanics , are analyzed. The electrostatic long-range Coulomb force has a different character than the nucleonic short-range Yukawa force. Both are different f…
Liangwei He, Shuanghong Chen
In this paper, we investigate the periodic wave solutions and solitary wave solutions of a (2+1)-dimensional Korteweg-de Vries (KDV) equation by applying Jacobi elliptic function expansion method. Abundant types of Jacobi elliptic function solutions are obtai…
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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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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.
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