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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…
Fatmah M. Alabdali, Huda Omar Bakodah
A new modification of the Method of Lines is proposed for the solution of first order partial differential equations. The accuracy of the method is shown with the matrix analysis. The method is applied to a number of test problems, on uniform grids, to compar…
Comlan de Souza, David W. Kammler
This paper shows that the only self dual lattices in R, R 2 , R 3 are rotations of Z , Z×Z and Z×Z×Z .
Waleed Al-Hayani
In this paper, the Adomian decomposition method with Green’s function (Standard Adomian and Modified Technique) is applied to solve linear and nonlinear tenth-order boundary value problems with boundary conditions defined at any order derivatives. The numeric…
Li Yang
In order to get the traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation, it is reduced to an ordinary differential equation (ODE) under the travelling wave transformation first. Then complete discrimination system for pol…
Tchavdar Marinov, Joe Omojola, Quintel Washington, LaQunia Banks
In this work, we consider different numerical methods for the approximation of definite integrals. The three basic methods used here are the Midpoint, the Trapezoidal, and Simpson’s rules. We trace the behavior of the error when we refine the mesh and show th…
Marin Gutan
Let p and q be two fixed no n zero integers verifying the condition gcd ( p , q ) = 1. We check solutions in non zero integers a 1 , b 1 , a 2 , b 2 and a 3 for the following Diophantine equations: ( B 1) ( B 2) . The equations ( B 1) and ( B 2) were consider…
Muhammad A. Yau, Hussaini S. Ndakwo, A. M. Umar
A mathematical model of HIV transmission dynamics is proposed and analysed. The population is partitioned into five compartments of susceptible S ( t ), Infected I ( t ), Removed R (t), Prevented U ( t ) and the Controlled W ( t ). Each of the compartments co…
Jihui Tu, Bin Yang
The ultrasonovision image caused by the tool eccentricity can often present two pieces of vertical black strips in the Casing Well. To solve this problem, this paper proposes a correction algorithm of time eccentricity image based on ellipse fitting algorithm…
Rajab Ali Borzooei, Hamid Reza Varasteh, Abbas Hasankhani
In this paper, we introduce the notion of fuzzy multiautomata and we investigate the hyperstructures induced by the linear second-order differential operators which can be used for construction of fuzzy multiautomata serving as a theoretical background for mo…
Gabriel Burstein, Constantin Virgil Negoita, Menachem Kranz
Despite half a century of fuzzy sets and fuzzy logic progress, as fuzzy sets address complex and uncertain information through the lens of human knowledge and subjectivity, more progress is needed in the semantics of fuzzy sets and in exploring the multi-moda…
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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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