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

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Consejo Nacional de Investigaciones Científicas y Técnicas, 27 de febrero 210 bis, S2000 Rosario, Argentina

https://doi.org/10.1186/s42787-020-00091-7

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.

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