Research Article Open Access

Computation of Irregular Boundary Area by Lacunary Interpolation Technique

Jamal Muhamad Amen1
  • 1 , Afganistan
American Journal of Engineering and Applied Sciences
Volume 4 No. 1, 2011, 175-178

DOI: https://doi.org/10.3844/ajeassp.2011.175.178

Submitted On: 25 September 2010 Published On: 26 March 2011

How to Cite: Amen, J. M. (2011). Computation of Irregular Boundary Area by Lacunary Interpolation Technique. American Journal of Engineering and Applied Sciences, 4(1), 175-178. https://doi.org/10.3844/ajeassp.2011.175.178

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.

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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