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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…
Zaiqiang Ku, Ting Liao
Based on the idea of infinitesimal analysis, we establish the basic model of relation between speed and flow. Since putting a certain amount of self-driving car will affect the average speed of mixed traffic flow, we choose the proportion of self-driving car…
Yoshihiro Tanaka
The sum of reciprocals of Mersenne primes converges to 0.51645417894078856533 ··· , which is an example of a probably infinite subset of primes whose sum of reciprocals is finite and can be computed accurately. This value is larger than , wh ere i s t he set…
Mujiangshan Wang, Yunxia Ren, Yuqing Lin, Shiying Wang
Diagnosability of a multiprocessor system G is one important measure of the reliability of interconnection networks. In 2016, Zhang <i> et al </i> . proposed the <i> g </i>- extra diagnosability of <i> G </i> , which restrains that every component of <i> G –…
Nguyen Thi Bich Thuy
We provide an algorithm to classify the asymptotic sets of the dominant polynomial mappings of degree 2, using the definition of the so-called “fa?ons” in [2]. We obtain a classification theorem for the asymptotic sets of dominant polynomial mappings of degre…
Vali Siadat
In this article I conduct a short review of the proofs of the area inside a circle. These include intuitive as well as rigorous analytic proofs. This discussion is important not just from mathematical view point but also because pedagogically the calculus boo…
Manohar Mathur, Aarnav
The Vedic multiplication algorithm is a very fast way of oral calculation. However, the basis of the algorithm is not available so far. The present paper demystifies the general Vedic algorithm for multiplication by establishment of foundation of the Vedic al…
Mariam Al-Mazmumy, Ahlam Al-Mutairi, Kholoud Al-Zahrani
The purpose of this paper is to employ the Adomian Decomposition Method (ADM) and Restarted Adomian Decomposition Method (RADM) with new useful techniques to resolve Bratu’s boundary value problem by using a new integral operator. The solutions obtained in th…
Shahid Hasnain, Muhammad Saqib
In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s equation describes a balance between linear diffusion and n…
Ferdusee Akter, Ujjwal Kumar Deb
A Computational Fluid Dynamic (CFD) model is presented to analyze the flow dynamics of a two phase incompressible flow in the application sectors of different industries. The Finite Element method (FEM) which is based on the Galerkin approximation, has been i…
Fuxing Hu
The paper is devised to combine the approximated semi-Lagrange weighted essentially non-oscillatory scheme and flux vector splitting. The approximated finite volume semi-Lagrange that is weighted essentially non-oscillatory scheme with Roe flux had been propo…
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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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