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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Shuqin Che, Yakui Xue, Likang Ma
In this paper we present a highly pathogenic Avian influenza epidemic model with saturated contact rate. According to study of the dynamics, we calculated the basic reproduction number of the model. Through the analysis of this model, we have the following co…
Badradeen A. A. Adam, 1 1
In this paper, we present a comparative study between the He-Laplace and Adomain decomposition method. The study outlines the significant features of two methods. We use the two methods to solve the nonlinear Ordinary and Partial differential equations. Lapla…
Alexey Stakhov
We are discussing one of the most unlikely hypotheses in the history of mathematics— Proclus’ hypothesis , which overturns a traditional view on Euclid’s Elements and the history of mathematics, starting since Euclid. According to Proclus, the main goal of Eu…
Yasser Mohamed Abo Essa, Ibrahim Abouefarag, El-Desouky Rahmo, 1 1
In this paper, we obtained the numerical solutions of the modified regularized long-wave (MRLW) equation , by using the multigrid method and finite difference method. The solitary wave motion, interaction of two and three solitary waves, and development of th…
Karsten Bock, Jörg Stiller
We investigate different techniques for fitting Bézier curves to surfaces in context of high-order curvilinear mesh generation. Starting from distance-based least-squares fitting we develop an incremental algorithm, which incorporates approximations of stretc…
Kaiguang Zhang, Haixia Du, Hongling Meng, Mingting Ba
The strong Markov process had been obtained by Ray-Knight compacting; its orbit natures are discussed; the significance probability of kolmogorov forward and backward equations are explained.
Adugna Fita
The subject area of multiobjective optimization deals with the investigation of optimization problems that possess more than one objective function. Usually, there does not exist a single solution that optimizes all functions simultaneously; quite the contrar…
Claudia M. Sarris, Angelo Plastino, 1 1, 1 1
We show that the non-linear semi-quantum Hamiltonians which may be expressed as (where is the set of generators of some Lie algebra and are the classical conjugated canonical variables) always close a partial semi Lie algebra under commutation and , because o…
Mohammad Mehdi Mazarei, Ali Asghar Behroozpoor, Ali Vahidian Kamyad
In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise linear function. Our method is based on an optimization proble…
Zhengyi Ma, Jinxi Fei, Yuanming Chen
Utilizing the Clarkson-Kruskal direct method, the symmetry of the (2 + 1)-dimensional dispersive long wave equation is derived. From which, through solving the characteristic equations, four types of the explicit reduction solutions that related the hyperboli…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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