Dance Ethnography: An Analysis on Aeta Ambala Tribe of Barangay Tubo-tubo, Bataan

In order to enhance music education courses, the study's primary goal is to evaluate students' academic performance in music at Visayas State University (VSU). It specifically sought to establish the respondents' age, gender, educational attainment, and demographic profile. It also aimed to determine the students’ academic success in music and provide suggestions to enhance the curriculum at the Visayas State University. In the demographic profile of the respondents in terms of age, the students dominate the younger generation wherein they belong to the age bracket of 16-20 years old. 75% of the participants were females, which reflected the majority of the population. Most of the students only got average grades. The weak background and foundation are due to less time given to music in MAPEH as a subject. Thus, they just encountered proper music education upon reaching the tertiary level hence, lacking the basic skills necessary for them to learn and appreciate the course then and obtain higher grades.

Mesh Free Collocation Method for Numerical Solution of Initial-Boundary-Value Problems Using Radial Basis Functions

Nonlinear partial differential equations are often used to understand and model nonlinear processes arising in many branches of science and engineering. For most of partial differential equations a general closed-form analytical solution is not available and therefore use of numerical methods always remains an important alternative for the solution of partial differential equations. Several numerical methods are developed for the solution of partial differential equations including finite difference methods, finite element methods, spectral methods and spline methods. However numerical methods posses some limitations such as mesh generation, slow rate of convergence, spatial dependence, stability, low accuracy and difficult to implement in complex geometries. One of domain type methods is known as radial basis functions method, which is a truly meshless method, infinitely differentiable, numerically accurate, stable, very high rate of convergence, spatial independence and flexible with respect to complex geometry. The main difference between the mesh free radial basis functions method and classical mesh-based methods is that the radial basis functions can be extended to the entire domain of influence without diving into elements. In this thesis, we present mesh free radial basis functions method based on collocation principle for numerical solution of various time dependent nonlinear partial differential equations namely, Regularized Long Wave (RLW) equation, Modified Regularized Long Wave (MRLW) equation, Modified Equal Width Wave (MEW) equation, Klein- Gordon Schrödinger (KGS) equations, Klein-Gordon Zakharov (KGZ) equations, Two dimensional Coupled Burgers’ equations and Two dimensional Reaction-Diffusion Brusselator equations. Different radial basis functions are used for this purpose. First order forward and second order central difference approximation is employed to the time derivative. The elementary stability and convergence of the proposed method are discussed. Accuracy of the method is assessed in terms of various error norms, number of nodal points and time step size. Performance of the proposed method is validated through examples from literature. Apart from ease of implementation, better accuracy is obtained. Comparison with existing methods such as finite difference methods, finite element methods, boundary element methods and spline methods is made to show the superiority and simple applicability of the mesh free method.