Symmetric Bernstein Polynomial Approach for the System of Volterra Integral Equations on Arbitrary Interval and Its Convergence Analysis
Abstract
:1. Introduction
2. The Proposed Approach
Bernstein’s Approximation for the VIEs of the First Kind
3. Hyers–Ulam Stability and Convergence Analysis
4. Numerical Examples
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Abdul Karim, S.A.; Khan, F.; Basit, M. Symmetric Bernstein Polynomial Approach for the System of Volterra Integral Equations on Arbitrary Interval and Its Convergence Analysis. Symmetry 2022, 14, 1343. https://doi.org/10.3390/sym14071343
Abdul Karim SA, Khan F, Basit M. Symmetric Bernstein Polynomial Approach for the System of Volterra Integral Equations on Arbitrary Interval and Its Convergence Analysis. Symmetry. 2022; 14(7):1343. https://doi.org/10.3390/sym14071343
Chicago/Turabian StyleAbdul Karim, Samsul Ariffin, Faheem Khan, and Muhammad Basit. 2022. "Symmetric Bernstein Polynomial Approach for the System of Volterra Integral Equations on Arbitrary Interval and Its Convergence Analysis" Symmetry 14, no. 7: 1343. https://doi.org/10.3390/sym14071343