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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…
Sahidul Islam, Md. Saiduzzaman, Md. Shafiqul Islam, Abeda Sultana
The system of linear equations plays a vital role in real life problems such as optimization, economics, and engineering. The parameters of the system of linear equations are modeled by taking the experimental or observation data. So the parameters of the sys…
Xiaoqian Li, Jing Zhang
This paper is concerned with the initial-boundary value problem of a nonlinear conservation law in the half space R + = { x | x > 0} where a>0 , u( x, t) is an unknown function of x ∈ R + and t>0 , u ± , u m are three given constants satisfying u m = u + ≠ u…
Saika Mahjabin, Md. Abdul Alim
This paper presents the effect of magnetic field, indicated by Hartmann number ( H a ), on the free convective flow of Magneto-hydro-dynamic (MHD) fluid in a square cavity with a heated cone of different orientation. Although similar studies abound, the novel…
Ying Liu
In this paper, we introduce the concepts of square neurons, power neu-rons, and new learning algorithms based on square neurons, and power neurons. First, we briefly review the basic idea of the Boltzmann Machine, specifically that the invariant distributions…
Edward Jiménez Calderon
The study of cancer with the Femtoscope shows us that the information of the cell nucleus is correlated with the atomic nucleus. Femtoscope and entropy algorithms monitor the time and energy of x-rays that transform cancer cells into healthy cells and vice ve…
R. B. Ogunrinde, O. M. Ojo
This paper presents the use of differential transformation method (DTM), an approximating technique for solving linear higher order boundary value problems. Using DTM, approximate solutions of order seven and eight boundary value problems were developed. Appr…
Haiduke Sarafian
Duffing equation, , has a standard well-known ex-act solution [1]. Approximate solutions to this equation also are available [2]. Reference [3] [4] introduces a sinusoidal time-dependent Power Series solution. Applying this method successfully we investigate…
M. Jahirul Haque Munshi, Golam Mostafa, A. B. S. Manik Munsi, Md. Waliullah
Hydrodynamic mixed convection in a lid-driven hexagonal cavity with corner heater is numerically simulated in this paper by employing finite element method. The working fluid is assigned as air with a Prandtl num-ber of 0.71 throughout the simulation. The lef…
Jean Marie Ntaganda, Froduald Minani, Wellars Banzi, Lydie Mpinganzima, Japhet Niyobuhungiro, Jean Bosco Gahutu, Eric Rutaganda, Immaculate Kambutse, Vincent Dusabejambo
Mathematical modelling of glucose-insulin system is very important in medicine as a necessary tool to understand the homeostatic control of human body. It can also be used to design clinical trials and in the evaluation of the diabetes prevention. In the last…
Na Zhu, Meiling Zhao
We present fast fourth-order finite difference scheme for 3D Helmholtz equation with Neumann boundary condition. We employ the discrete Fourier transform operator and divide the problem into some independent subproblems. By means of the Gaussian elimination i…
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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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