Computation of Irregular Boundary Area by Lacunary Interpolation Technique
- 1 Sulaimani Technical Institute, Iraq
Abstract
Problem statement: Rising up land value and a rapid extension in large town in the world, this in addition to appearance a new technique in applied mathematics especially in interpolation felid during last period encourage engineers and surveyor to search for a new mathematical formula for calculating area of a land. Approach: In this study, (0, 2) lacunary interpolation technique used to derive a new equation for calculation of a land area. Results: The results show that this new technique is better than the used formulas before, such as trapezoidal and Simpson’s rule. Conclusion: The obtained formula can be use by engineer’s and surveyor for calculating area of a land confidently and to acceptable accuracy.
DOI: https://doi.org/10.3844/ajeassp.2011.175.178
Copyright: © 2011 Jamal Muhamad Amen. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Lacunary interpolation
- cubic spline function
- irregular boundary area
- engineering surveying
- calculating area
- trapezoidal rule
- Lacunary Cubic (LC)
- lacunary polynomial
- irregular shape
- instrumental method
- geometric shapes