interpolation

The concise review systematically summarises the state-of-the-art variants of Moving Least Squares (MLS) method. MLS method is a mathematical tool which could render cogent support in data interpolation, shape construction and formulation of meshfree schemes, particularly due to its flexibility to form complex arithmetic equation. However, the conventional MLS method is suffering to deal with discontinuity of field variables. Varied strategies of overcoming such shortfall are discussed in current work. Although numerous MLS variants were proposed since the introduction of MLS method in numerical/statistical analysis, there is no technical review made on how the methods evolve. The current review is structured according to major strategies on how to improvise MLS method the modification of weight function, the manipulation of discrete norms, the inclusion of iterative feature for residuals minimising and integration of these strategies for more robust computation. A wide range of advanced MLS variants have been compiled, summarised, and reappraised according to its underlying principle of improvement. In addition, inherent limitation of MLS method and its possible strategy of improvement is discussed too in this article. The current work could render valuable reference to implement and develop advanced MLS schemes, whenever complexity of the specific scientific problems arose.

Considering that the effective yield of a panel is equal to its total number of hours of solar radiation and temperature, only the effects of temperature and solar radiation intensity at the maximum power point (MPP) are investigated in this article. By collecting temperature data, sun's radiation hours from six synoptic meteorological stations in Kermanshah Province over the course of an eleven-year period (1995-2005), with the use of GIS software, a map of Kermanshah Province's temperature and radiation based on plotted latitude and longitude as well as the establishment of regression, the most suitable location for solar panels is proposed. In this MATLAB software simulation using the characteristics of panel MSX-64, all parameters have been considered and determined by the characteristics of the panel. Throughout the process, the design has been based on four parameters as the primary specifications of the solar panels: Isc, Voc, Imp, Vmp. With the ability to simulate other solar panels with temperatures and radiation intensity corresponding to each area, the I-V curve of each custom solar panel can be drawn, making it possible to obtain the maximum power.