Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations
Ferrari, A., Lara, L., Marcus, E. (2020). Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations. EKB Journal Management System, 28(1), 1-14. doi: 10.1186/s42787-020-00091-7
Alberto José Ferrari; Luis Pedro Lara; Eduardo Adrian Santillan Marcus. "Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations". EKB Journal Management System, 28, 1, 2020, 1-14. doi: 10.1186/s42787-020-00091-7
Ferrari, A., Lara, L., Marcus, E. (2020). 'Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations', EKB Journal Management System, 28(1), pp. 1-14. doi: 10.1186/s42787-020-00091-7
Ferrari, A., Lara, L., Marcus, E. Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations. EKB Journal Management System, 2020; 28(1): 1-14. doi: 10.1186/s42787-020-00091-7

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

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Page 1-14  XML PDF (529.33 K)
DOI: 10.1186/s42787-020-00091-7
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Authors
Alberto José Ferrari; Luis Pedro Lara; Eduardo Adrian Santillan Marcus
Consejo Nacional de Investigaciones Científicas y Técnicas, 27 de febrero 210 bis, S2000 Rosario, Argentina
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
Quadratic spline; Fredholm-Volterra integral equations; Fractional differential equations
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