An Application of Second Derivative Backward Differentiation Formula Hybrid Block Method on Stiff Ordinary Differential Equations

The study focusing on regeneration status of “Gemarda Gerare”Acacia polyacantha and “Walia”Boswellia papyrifera (Del.)species which conducted in Shimelegir Forest, Jawi Woreda, Awi Administration Zone, Ethiopia from October, 2012 to February, 2014. The general objective of the study was to explore density and regeneration status of those species. A systematic sampling procedure was employed to generate the data like height and DBH of the tree. Accordingly, a total of 36 quadrants, each with the size of 25 m x 25 m at an interval of 350 m were laid out along the established transect line with between 500m apart. Two sub quadrants having size of 5 m x 2 m at two sides of every main quadrant to assess seedlings and saplings. Hipsometer and caliper were used to measure hight and DBH of the tree respectively. The data was processed and analysed by using Micriosoft excal 2008.  The results show that the total density of Acacia polyacantha and Boswellia papyrifera was 24 and 56 Nha -1 respectively. The regeneration capacity of Acacia polyacantha displays an inverted “J” shape distribution with poor regeneration and good recruitment status and Boswellia papyrifera showed a bell shape population structure with poor regeneration and recruitment. Keywords: Acacia polyacantha, Boswellia papyrifera, Density, Regeneration, Shimelegir state forest.