Comparison New Algorithm Modified Euler Based on Harmonic-Polygon Approach for Solving Ordinary Differential Equation

There are many benefits to improve Euler scheme for solving the Ordinary Differential Equation problems. Among the benefits are simple implementation and low-cost computation. However, the problem of accuracy in the Euler scheme persuades scholar to use the complex method. Therefore, the main purpose of this research is to show the development of a new modified Euler scheme that improves the accuracy of the Polygon scheme in various step sizes. The implementation of the new scheme is by using the Polygon scheme and then Harmonic mean concept that is called the Harmonic-Polygon scheme. This Harmonic-Polygon scheme can provide new advantages more than the Euler scheme could offer by solving Ordinary Differential Equation problem. Four set of problems are solved via Harmonic-Polygon. Findings showed that new scheme or Harmonic-Polygon scheme can produced much better accuracy result

Strengthening Spiritual Practices among Community: Dhikr Activities in Negeri Sembilan, Malaysia

Tarekat tasawuf has been established in Negeri Sembilan since 1900 and began to strengthen its existence in spiritual activities such as the implementation of zikr tarekat tasawuf activities among the local community. This article will highlight the impact of implementing the zikr activities tarekat tasawuf, which is implemented periodically on the spiritual strengthening of the community in Negeri Sembilan. A qualitative approach is used involving library studies, review of relevant documents, and interviews with the Registrar of Tarekat, Tasawuf Division of the Negeri Sembilan Mufti Department, and the Syeikh of the tarekat involved. Basically, there are 13 Sufi practice centers around Negeri Sembilan that conduct regular zikr activities that impact the community. The existence of tarekat practice centers in Negeri Sembilan has been plotted to see the distribution and centralization of tarekat centers. In addition, the form of zikr practiced in the zikr ceremony is also explained through a simple framework built. The results also showed that the Seremban district is the highest area with a tarekat practice center. Indirectly, the zikr activities, tarekat tasawuf, have provided space for the local community to engage in more systematic spiritual activities. The efforts implemented by the Sufi tarekat practice center in Negeri Sembilan are expected to be used as an example by other states in Malaysia so that the community is more interested in the Sufi tarekat zikr ceremony

Cube Polygon: A New Modified Euler Method to Improve Electric Circuit Efficiency

Euler method is a numerical order process for solving problems with the Ordinary Differential Equation (ODE). It is a fast and easy way. While Euler offers a simple procedure for solving ODEs, problems such as complexity, processing time and accuracy have driven others to use more sophisticated methods. Improvements to the Euler method have attracted much attention resulting in numerous modified Euler methods. This paper proposes Cube Polygon, a modified Euler method with improved accuracy and complexity. In order to demonstrate the accuracy and easy implementation of the proposed method, several examples are presented. Cube Polygon’s performance was compared to Polygon’s scheme and evaluated against exact solutions using SCILAB. Results indicate that not only Cube Polygon has produced solutions that are close to identical solutions for small step sizes, but also for higher step sizes, thus generating more accurate results and decrease complexity. Also known in this paper is the general of the RL circuit due to the ODE problem

Pixel Value Graphical Password Scheme: K-Means as Graphical Password Fault Tolerance

Pixel value access control (PVAC) was introduced to deliver a secure and simple graphical password method where it requires users to load their image as their password. PVAC extracts the image to obtain a three-octet 8-bits Red-Green-Blue (RGB) value as its password to authenticate a user. The pixel value must be matched with the record stored in the database or otherwise, the user is failed to authenticate. However, users which prefer to store images on cloud storage would unintentionally alter and as well as the pixel value due to media compression and caused faulty pixels. Thus, the K-Means clustering algorithm is adapted to fix the issue where the faulty pixel value would be recognized as having the same pixel value cluster as the original. However, most of K-Means algorithm works were mainly developed for content-based image retrieval (CBIR) which having opposite characteristics from PVAC. Thus, this study was aimed to investigate the crucial criteria of PVAC and its compatibility with the K-Means algorithm for the problem. The theoretical analysis is used for this study where the suitable characteristics of K-Means are analyze based on PVAC requirements. The compliance analysis might become a referencing work for digital image clustering techniques adaptation on security system such as image filtering, image recognition, and object detection since most of image clustering works was focused on less sensitive image retrieval