Journal of the Egyptian Mathematical Society (Jun 2020)

Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations

  • Alberto José Ferrari,
  • Luis Pedro Lara,
  • Eduardo Adrian Santillan Marcus

DOI
https://doi.org/10.1186/s42787-020-00091-7
Journal volume & issue
Vol. 28, no. 1
pp. 1 – 14

Abstract

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Abstract In this study, a new form of a quadratic spline is obtained, where the coefficients are determined explicitly by variational methods. Convergence is studied and parity conservation is demonstrated. Finally, the method is applied to solve integral equations.

Keywords