Journal of Applied Mathematics and Physics 

About: Journal of Applied Mathematics and Physics is an academic journal published by Scientific Research Publishing. The journal publishes majorly in the area(s): Computer science & Nonlinear system. It has an ISSN identifier of 2327-4352. It is also open access. Over the lifetime, 1894 publications have been published receiving 5003 citations. The journal is also known as: JAMP.

Über einige Methoden der Relaxationsrechnung

Abstract: The general outlines of the so-called relaxation technique are developed. By “relaxation” is meant every “step-by-step procedure” for solving systems of linear equations based on minimizing quadratic forms. After a short discussion of the trial methods developed bySouthwell and his school, allowing full leeway to the intuition of the computing person, the general mathematical background is treated. § 3, 4 are the central parts of the paper. After a study of the gradient method it is shown that relaxation methods are not necessarily successive approximations taking an infinite number of steps but that it is possible to speed up convergence such that the desired result is reached in a finite number of steps. These methods may be suitable for use on sequence-controlled computing machines. Special consideration is given to the well-known fact that relaxation very quickly smoothes the trial function but that it may be a combersome task to get rid of the remaining smooth residual distribution.

Comprehensible Technique in Solving Consecutive Number Problems in Algebra

Abstract: This research paper evaluated and investigated the effectiveness of the comprehensible technique (CT) introduced by the researcher as an alternative solution to Algebra’s linear equations in solving consecutive number problems. The CT is a proposed easy and efficient way of solving number problems which aimed to help the learners reduce their difficulties in using variables since the technique only uses basic arithmetic and mental Mathematics. Evaluation research was utilized in this study where 20 people, from various ages and professions, were chosen purposively as respondents of the study. The study found out that CT was very effective for the respondents especially in unlocking difficulties in solving consecutive number problems. Moreover, according to them, the CT is easy to use, it is engaging and enjoyable, direct and simple and can be utilized as shortcut way of solving consecutive number problems when competing in Math quiz bees or taking board examinations where time is of the essence.

Automatic Alzheimer’s Disease Recognition from MRI Data Using Deep Learning Method

Abstract: Alzheimer’s Disease (AD), the most common form of dementia, is an incurable neurological condition that results in a progressive mental deterioration. Although definitive diagnosis of AD is difficult, in practice, AD diagnosis is largely based on clinical history and neuropsychological data including magnetic resource imaging (MRI). Increasing research has been reported on applying machine learning to AD recognition in recent years. This paper presents our latest contribution to the advance. It describes an automatic AD recognition algorithm that is based on deep learning on 3D brain MRI. The algorithm uses a convolutional neural network (CNN) to fulfil AD recognition. It is unique in that the three dimensional topology of brain is considered as a whole in AD recognition, resulting in an accurate recognition. The CNN used in this study consists of three consecutive groups of processing layers, two fully connected layers and a classification layer. In the structure, every one of the three groups is made up of three layers, including a convolutional layer, a pooling layer and a normalization layer. The algorithm was trained and tested using the MRI data from Alzheimer’s Disease Neuroimaging Initiative. The data used include the MRI scanning of about 47 AD patients and 34 normal controls. The experiment had shown that the proposed algorithm delivered a high AD recognition accuracy with a sensitivity of 1 and a specificity of 0.93.

Analysis of Casson Fluid Flow over a Vertical Porous Surface with Chemical Reaction in the Presence of Magnetic Field

Abstract: Casson fluid flow over a vertical porous surface with chemical reaction in the presence of magnetic field has been studied. A similarity analysis was used to transform the system of partial differential equations describing the problem into ordinary differential equations. The reduced system was solved using the Newton Raphson shooting method alongside the Forth-order Runge-Kutta algorithm. The results are presented graphically and in tabular form for various controlling parameters.