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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…
Nasrin Bastani, Alireza Vard, Mehdi Jabalameli, Vahid Bastani
Zernike polynomials have been used in different fields such as optics, astronomy, and digital image analysis for many years. To form these polynomials, Zernike moments are essential to be determined. One of the main issues in realizing the moments is using fa…
Joachim Moussounda Mouanda
We prove that every matrix F ∈ M k (P n ) is associated with the smallest positive integer d ( F ) ≠ 1 such that d ( F ) ‖ F ‖ ∞ is always bigger than the sum of the operator norms of the Fourier coefficients of F . We establish some inequalities for matrices…
Ahmed Abdulrahim Ahmed Amin, Daoud Suleiman Mashat
In this paper, a two-dimensional nonlinear coupled Gray Scott system is simulated with a finite difference scheme and a finite volume technique. Pre and post-processing lead to a new solution called GSmFoam by understandin g geometry settings and mesh informa…
Haiduke Sarafian
Nucleons are fermions with intrinsic spins exhibiting dipole character. Dipole-dipole interaction via their dipole moments is the key feature quantifying the short-range nucleonics interaction in two-body physics. For a pair of interacting dipoles, the energy…
Wensheng Zhang, Yijun Li
In this paper, we investigate the elastic wave full-waveform inversion (FWI) based on the trust region method. The FWI is an optimization problem of minimizing the misfit between the observed data and simulated data. Usually , the line search method is used t…
David C. Kay
The unsolved number theory problem known as the 3 x + 1 problem involves sequences of positive integers generated more or less at random that seem to always converge to 1. Here the connection between the first integer ( n ) and the last ( m ) of a 3 x + 1 seq…
Tongxin Wang, Ziwen Jiang, Zhe Yin
In this paper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate variables, the original fourth-order problem is transformed into second-order partial differential equations, and the mixed finite volume e…
Zaki Mrzog Alaofi, Talaat Sayed Ali, Faisal Abd Alaal, Silvestru Sever Dragomir
In the present paper, we introduce a non-polynomial quadratic spline method for solving third-order boundary value problems. Third-order singularly perturbed boundary value problems occur frequently in many areas of applied sciences such as solid mechanics, q…
Bin Li
The main purpose of verifiable secret sharing scheme is to solve the honesty problem of participants. In this paper, the concept of nonzero k -submatrix and theresidual vector of system of hyperplane intersecting line equations is proposed. Based on certain p…
Md. Abdul Mannan, Md. R. Rahman, Halima Akter, Nazmun Nahar, Samiran Mondal
This paper aims at treating a study of Banach fixed point theorem for mapping results that introduced in the setting of normed space. The classical Banach fixed point theorem is a generalization of this work. A fixed point theory is a beautiful mixture of Mat…
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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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