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आयतन 5, मुद्दा 6 (2016)

शोध आलेख

Laplace Homotopy Perturbation Method (LHAM) to Fractional Oscillation Equations

Arafa AAM

In this paper, Laplace Homotopy perturbation method (LHAM) is used to find the approximate solution of the fractional Oscillation equations. The fractional derivatives are described in the Caputo sense. We compare the exact solutions with our results without fractional derivatives. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fractional derivative used. Numerical results are demonstrated the accuracy, efficiency and high rate of convergence of this method.

शोध आलेख

An Alternating Sequence Iteration’s Method for Computing Largest Real Part Eigenvalue of Essentially Positive Matrices: Collatz and Perron-Frobernius’ Approach

Tedja Santanoe Oepomo

This paper describes a new numerical method for the numerical solution of eigenvalues with the largest real part of essentially positive matrices. Finally, a numerical discussion is given to derive the required number of mathematical operations of the new method. Comparisons between the new method and several well know ones, such as Power and QR methods, were discussed. The process consists of computing lower and upper bounds which are monotonically approximating the eigenvalue.

शोध आलेख

Existence of Solutions for a Fractional and Non-Local Elliptic Operator

Mourad Chamekh

In this paper, we consider a fractional and p-laplacian elliptic equation. In order to study this problem, we apply the technique of Nehari manifold and fibering map, which permit treating the existence of nontrivial solutions of a fractional and nonlocal equation, satisfies the homogeneous Dirichlet boundary conditions.

शोध आलेख

The Role of Information and Communication Technology as a Tool for Effective Teaching and Learning of Mathematics

Babangida Bature

This study actually investigated the role of ICT as a tool for effective teaching and learning of Mathematics in Secondary Schools. The purpose of this study was to explore students and mathematics teachers’ trainees’ use of ICT in the teaching and learning of mathematics. The study adopted survey research design and was conducted in Kafur Local Government Area of Katsina State. The target population was the entire students and mathematics teachers in Kafur Local Government. Five out of ten secondary schools in the area of study were randomly selected as a sample. The instrument used was questionnaires for both teachers and students. Simple percentage and chi-square were used to analyze the data. Among the findings are the use of ICT by students improved their performance, problem-solving skill and mathematics achievements. Some recommendations were equally made among which are; adequate and qualitative ITC materials and computer laboratories should be made available in all secondary schools.

शोध आलेख

Autonomic Nervous System Function in Extinct Giants

Clifford Qualls, Lucas S and Appenzeller O

We measured published growth-lines in bones of two titannosaurs from images in the papers. We found that growth-lines in osteons in the anterior process of the rib grew faster than dense bone and juveniles grew faster than adults Power spectral analyses of growth intervals in osteons showed a ratio of 1.3 (LF/HF) and for bone 1.4 (LF/HF) NS. We found additionally that the main drivers for blood flow to the brain were the physical aspect of flow in elastic tubes (blood vessels) and the smallness of their brains. These animals slept only ~3 hours/24 hours because of the need to sustain their enormous body mass (~80 tones) and they reached an age of ~100 years.

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