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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…
Jaouad Kharbach, Mohamed Benkhali, Mohamed Benmalek, Ahmed Sali, Abdellah Rezzouk, Mohammed Ouazzani-Jamil
In this article, the classic dynamic of Paul trap problem is investigated. We give a complete description of the topological structure of Hamiltonian flows on the real phase space. Using the surgery’s theory of Fomenko Liouville tori, all generic bifurcations…
Yingying Gao, Mohammad Reza Farahani, Muhammad Shoaib Sardar, Sohail Zafar
Let G = ( V ; E ) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V ( G ) and E = E ( G ), respectively. In such a simple molecular graph, vertices represent atoms and edges represent bonds. The Sanskruti index S ( G ) is a…
Nita H. Shah, Zalak A. Patel, Bijal M. Yeolekar
Vector-borne diseases threat lives of millions of people in many countries of the world. Zika is one of the vector-borne diseases which initially spread by the bite of an infected Aedes species mosquito ( Ae. aegypti and Ae. albopictus ) and then it transmits…
Mithat Idemen
Direct and inverse scattering problems connected with the wave equation in non-homogeneous bounded domains constitute challenging actual subjects for both mathematicians and engineers. Among them one can mention, for example, inverse source problems in seismo…
Tingzeng Wu, Huazhong Lü
Two nonisomorphic graphs G and H are said to be matching equivalent if and only if G and H have the same matching polynomials. In this paper, some families matching equivalent graphs are constructed. In particular, a new method to construct cospectral forests…
Ilia Zabrodskii, Arcady Ponosov
Many advanced mathematical models of biochemical, biophysical and other processes in systems biology can be described by parametrized systems of nonlinear differential equations. Due to complexity of the models, a problem of their simplification has become of…
Mamadou Diop, Ibrahima Mbaye
In this paper, we propose a method to solve coupled problem. Our computational method is mainly based on conjugate gradient algorithm. We use finite difference method for the structure and finite element method for the fluid. Conjugate gradient method gives s…
Omer Abdalrhman, Afif Abdalmonem, Shuangping Tao, 1 1
The aim of this paper is to study the boundedness of Calderón-Zygmund operator and their commutator on Herz Spaces with two variable exponents p (.), q (.). By applying the properties of the Lebesgue spaces with variable exponent, the boundedness of the Calde…
Daniela Valente, Michael Cada, Jacek Ilow
We propose a low complexity iterative algorithm for band limited signal extrapolation. The extrapolation method is based on the decomposition of finite segments of the signal via truncated series of real-valued linear prolate functions. Our theoretical deriva…
A. C. Wimal Lalith De Alwis
Solutions to the differential equation in Smith’s Prize Examination taken by Maxwell are discussed. It was a competitive examination using which skill full students were identified and James Clerk Maxwell was one of them. He later formulated the theory of Ele…
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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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