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

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

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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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2020-06, Vol.28 (1), p.1-14, Article 30
Hauptverfasser: Ferrari, Alberto José, Lara, Luis Pedro, Santillan Marcus, Eduardo Adrian
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Fractional differential equations
Fredholm-Volterra integral equations
Integral equations
Mathematics
Mathematics and Statistics
Original Research
Parity
Polynomials
Quadratic spline
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Zusammenfassung: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.
ISSN:2090-9128
1110-256X
2090-9128
DOI:10.1186/s42787-020-00091-7