The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where th...
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Research Article10.9734/arjom/2021/v17i930329
MHD flow has a wide range of industrial applications such as MHD propulsion for space exploration, cooling of nuclear reactors, electronic packages, microelectronic devices, and many more. Due to this, a study on the MHD boundary layer flow of a viscous incompressible fluid over...
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Research Article10.9734/arjom/2021/v17i930328
In this article, the Laplace decomposition method and Modified Laplace decomposition method have been employed to obtain the exact and approximate solutions of the Klein-Gordon equation with the initial profile. An approximate solution obtained by these methods is in good agreeme...
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Research Article10.9734/arjom/2021/v17i930327
The investigation of dissipative heat and species diffusion of a conducting liquid under the combined influence of buoyancy forces in a moving plate is examined in the existence of magnetic field. The flowing liquid heat conductivity and viscosity are taken to be linearly varied...
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Research Article10.9734/arjom/2021/v17i930326
We present in this research work, mathematical modeling of the transmission dynamics of measles using treatment as a control measure. We determined the Disease Free Equilibrium (DFE) point of the model after which we obtained the Basic Reproduction Number ( R0 ) of the model usin...
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Research Article10.9734/arjom/2021/v17i830324
The paper evidenced that Hepatitis B infection is the world's deadliest liver infection and Vaccination is among the principal clinical strategies in fighting it. These have encouraged a lot of researchers to formulate mathematical models to accurately predict the mode of transmi...
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Research Article10.9734/arjom/2021/v17i830323
Some further theoretic properties of scheme called Γ1 non deranged permutations, the permutation which fixes the first element in the permutations were identified and studied in relation to admissible inversion in this paper. This was done first through some computation on this s...
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Research Article10.9734/arjom/2021/v17i830322
In this paper, two methods are used to solve a nonlocal Cauchy problem of a delay differential equation; Adomian decomposition method (ADM) and Picard method. The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis ar...
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Research Article10.9734/arjom/2021/v17i830321
Existence of Positive Solution For a Fourth-order Differential System where µ > 0 is a constant, and the nonlinear terms f, g may be singular with respect to the time and space variables. By fixed point theorem in cones, the existence is established for singular differenti...
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Research Article10.9734/arjom/2021/v17i830320
Bovine tuberculosis and bovine brucellosis continue to cause serious economic and public health burden in low-income countries, especially in many regions of sub-Saharan Africa where the diseases are co-endemic. The economic burden of the two infections in low-income countries tr...
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Research Article10.9734/arjom/2021/v17i830319
This study was carried out to investigate the perceptions of teaching and learning Mathematics by the pre-service Mathematics teachers in Bhutan. The research has employed quantitative methods. A five-point Likert scale survey questionnaire was administered to collect the data. T...
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Research Article10.9734/arjom/2021/v17i730317
The notion of shape and space is the building block for geometry reasoning. Accordingly, it is expected that those trained to teach would possess substantial content knowledge for teaching planar and spatial notions. This study investigated the level of content knowledge and sour...
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Research Article10.9734/arjom/2021/v17i730318
In this paper, we discuss a new model to obtain the answer to the following question: how can we establish the different types of mixed integral equations from the Fredholm integral equation? For this, we consider three types of mixed integral equations (MIEs), under certain cond...
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Research Article10.9734/arjom/2021/v17i730316
Aims: This study aims to examine the effect of qualification and experience level on students’ academic achievement in mathematic in five colleges under the Royal University of Bhutan. Study Design: It is a quantitative study where the researcher tests the significance of the di...
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Research Article10.9734/arjom/2021/v17i730314
Wigner distribution is a tool for signal processing to obtain instantaneous spectrum of a signal. By using Wigner distribution analysis, another representation of the Euler product can be obtained for Dirichlet series of the Ramanujan tau function. From which, it can be proved th...
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Research Article10.9734/arjom/2021/v17i730315