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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…
Yoshihiro Tanaka
All elements in the cyclic group are generated by a generator g . The number of generators of of , namely is known to be Euler’s totient function ; however, the average probability of an element being a generator has not been discussed before. Several analyti…
Chengjie Tong, Xianqi Fang, Meiling Zhao
Acoustic fields with impedance boundary conditions have high engineering applications, such as noise control and evaluation of sound insulation materials, and can be approximated by three-dimensional Helmholtz boundary value problems. Finite difference method…
Prosper Kouadio Kimou, François Emmanuel Tanoé
Diophantine equations have always fascinated mathematicians about existence, finitude, and the calculation of possible solutions. Among these equations, one of them will be the object of our research. This is the Pythagoras’- Fermat’s equation defined as foll…
Mingyue Tu, Baoqing Liu
In this paper, based on the Kirchhoff transformation and the natural boundary element method, a coupled natural boundary element and curved edge finite element is applied to solve the anisotropic quasi-linear problem in an unbounded domain with a concave angl…
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
Nowadays, picture fuzzy set theory is a flourishing field in mathematics with uncertainty by incorporating the concept of positive, negative and neutral membership degrees of an object. A traditional crisp relation represents the satisfaction or the dissatisf…
Khadeejah Sultan Alroogy, Musa Adam Aigo
In this paper, we derive a simple and efficient matrix formulation using Laguerre polynomials to solve the singular integral equation with degenerate kernel. This method is based on replacement of the unknown function by truncated series of well known Laguerr…
Preethini Selvaraj, Arrivukkarasan Sanjeevirayar, Anhuradha Shanmugam
Principal component analysis (PCA) was employed to examine the effect of nutritional and bioactive compounds of legume milk chocolate as well as the sensory to document the extend of variations and their significance with plant sources. PCA identified eight s…
Banan Alqanawi, Musa Adam Aigo
The aim of this paper is to give an appropriate numerical method to solve Allen-Cahn equation, with Dirichlet or Neumann boundary condition. The time discretization involves an explicit scheme for the nonlinear part of the operator and an implicit Euler discr…
Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra
In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the ( α , γ , β )-cut concept and standard interval analysis. Various related properties are explored…
Haiduke Sarafian
This report shows how starting from classic electric circuits embodying co m monly electric components we have reached semi-complicated circuits embodying the same components that analyzing the signal characteristics requi res a Computer Algebra System. Our a…
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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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