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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…
Gelaw Temesgen Mekuria, Jakkula Anand Rao
This paper examines the numerical solution of the convection-diffusion equation in 2-D. The solution of this equation possesses singularities in the form of boundary or interior layers due to non-smooth boundary conditions. To overcome such singularities aris…
Vladimir Feshchenko, Galina Feshchenko
The transition regimes of solitons in four-photon resonant processes in the case of two-photon absorption of the fundamental radiation are numerically investigated. The standard system of equations for the amplitudes of probability of finding the system in st…
Yunxia Ren, Shiying Wang
Diagnosability of a multiprocessor system is one important study topic. In 2012, Peng <i>et al. </i> proposed a measure for fault tolerance of the system, which is called the <i>g</i>-good-neighbor diagnosability that restrains every fault-free node containin…
Reyad Omari
This study is devoted to the computational fluid dynamics (CFD) modeling of steady laminar mixed convection flow and heat transfer in lid driven cavity (10 ≤ <i>Re</i> ≤ 1000). The ratio of the height to the width of the cavity is ranged over <i>H/L</i> = 0.5…
Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni
In the paper, the approximate solution for the two-dimensional linear and nonlinear Volterra-Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Adomian decomposition method (LADM) was studied. This technique is a converg…
Ismot Ara Khanam, Ujjwal Kumar Deb
The light is one of the important factors for the microalgae growth in the biofuel technology. As biofuel project is large and expensive thus before setting a microalgae based biofuel project in any geographical location, it is important to investigate the su…
Jing Zhang, Maofei Shao, Tao Pan
By using fluid dynamics theory with the effects of adsorption and reaction, the chromatography model with a reaction <i>A</i> → <i>B</i> was established as a system of two hyperbolic partial differential equations (PDE’s). In some practical situations, t…
Fatheah Ahmad Alhendi, Bothayna Saleh Kashkari, Aisha Abdullah Alderremy
In this paper, the system of Burgers’ equations is solved by the optimal homotopy asymptotic method with Daftardar-Jafari polynomials OHAM-DJ. Two numerical examples are illustrated the efficient of this methods for solving the system of Burgers’ equations.
Pandit Jagatananda Mishra, Trailokyanath Singh, Hadibandhu Pattanayak
The present paper focuses an optimal policy of an inventory model for deteriorating items with generalized demand rate and deterioration rate. Shortages are allowed and partially backlogged. The salvage value is included into deteriorated units. The main obje…
Mohamed S. El Naschie
The present paper is basically written as a non-apologetic strong defence of the thesis that computation is part and parcel of a physical theory and by no means a mere numerical evaluation of the prediction of a theory which comes towards the end. Various gen…
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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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