In this paper, we consider the determinant and the inverse of a skew Peoeplitz matrix and a skew Peankel matrix involving Perrin numbers. we first give the definition of a skew Peoeplitz matrix and a skew Peankel matrix. Then we compute the determinant and the inverse of the skew...
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Research Article10.9734/JAMCS/2018/43496
The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function are obtained in the framework of the AC-Laplace transform, that is the Laplace transform supplemented by its analytic continuation. In particular, discus...
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Research Article10.9734/JAMCS/2018/43059
A linear differential equation with polynomial coefficients, which is expressed by is studied, where ak,m are constants. In the present study, the lefthand side of the equation is rewritten where and each of is called a block of classified terms in Lu(t). The solution is...
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Research Article10.9734/JAMCS/2018/43000
In this paper we discuss a new epidemic model for the dynamics of infectious disease in the presence of vaccine and therapeutic treatment is proposed and analyzed theoretically as well as numerically. The disease is transmitted from infected individuals and contaminated water to...
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Research Article10.9734/JAMCS/2018/43217
Multi-derivative linear multi-step methods with continuous coefficients was derived through the block method approach using power series as basis function. Discrete scheme systems involving the multi-derivative linear methods were developed and their basic properties examined. Th...
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Research Article10.9734/JAMCS/2018/42045
The dynamics of a bound state theory - based on a QED like Lagrangian with fermions coupled to boson fields - has been studied explicitly. Different from the Hamilton approach studied earlier, an additional acceleration term is found, which is spurious for fundamental bound state...
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Research Article10.9734/JAMCS/2018/42590
Various methods are available for choosing statistical models. It is difficult to know which model selection criterion is the best for specific data. This paper discusses a method for choosing the model selection criterion based on the characteristics of the data and models. As a...
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Research Article10.9734/JAMCS/2018/43344
The determination of the number of representations of a positive integer by certain octonary quadratic forms are given in the literature. For instance, the formulas N(12a, 22b, 32c, 62d; n) for the nine octonary quadratic forms are given with a = 1, b = 2, c = 3 and d = 6. Moreov...
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Research Article10.9734/JAMCS/2018/42653
The concept of ‘Ψ - Caputo’ fractional derivative is discussed in this article. This method is based on the fractional derivative in Caputo sense of a function with respect to another function Ψ , called kernel. The kernel function Ψ , is any increasing function such that . Expe...
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Research Article10.9734/JAMCS/2018/43054
Quadratic forms in four variables over the field 2 are sorted first of all with respect to permutation symmetry. Thereafter it is shown that any such form is equivalent to one of seven such canonical forms. The orthogonal group of each one of these seven forms is obtained. The pa...
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Research Article10.9734/JAMCS/2018/42882
In [1], Gyamfi et al. described homological properties in relation to Nakayama Algebras with projectives that satisfied condition Extn (M,N) = 0 for n ≫ 0 ⇐⇒ Extn (N,M) = 0 for n ≫ 0, [1]. The purpose of this paper is to give a similar characterization of Nakayama algebras. In pa...
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Research Article10.9734/JAMCS/2018/42573
In this manuscript, the methods, Optimal Homotopy Asymptotic Method (OHAM), Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to solve various order boundary value problems. These techniques give solutions in the form of a series. Their solutions a...
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Research Article10.9734/JAMCS/2018/42407
This paper uses nine winsorized scores in the adaptive test of Hogg, Fisher and Randles and deals with its extension to hypothesis testing in profile analysis of a balanced longitudinal data. Simulation studies are conducted to evaluate the efficiency of the adaptive test procedu...
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Research Article10.9734/JAMCS/2018/42361
In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation using power series approximation to generate the continuo...
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Research Article10.9734/JAMCS/2018/41557
A numerical integration scheme involving a fourth-fifth Runge-Kutta-Fehlberg method (RKF45) with shooting technique is employed to investigate a steady laminar incompressible forced convective flow of an upper-convected Maxwell fluid which is subjected to a transversely uniform m...
Open access
Research Article10.9734/JAMCS/2018/42481