Three-Step Three off Grid Points for Solving Volterra Integral Equation of the Second Kind

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Published: 2023-12-05

Page: 512-523


Adu, A. *

Department of Mathematics and Statistics, Federal University Wukari, Nigeria.

Ine, Nyiutya Cephas

Our Lady of Mount Carmel College, Makurdi, Nigeria.

John., Chuseh Ahmadu

University of Abuja, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

The second order Volterra linear integral problem of the second kind was expressed and solved by the hybrid block three-step approach of order six. The method was created with the use of interpolation and a collocation approach, utilizing power series and the trigonometric functions as the basis function. We investigate the method's properties, including order, consistency, and region of absolute stability. Next, the second kind problem's linear Volterra integral equation was resolved, and the numerical outcome demonstrated that the hybrid block technique's accuracy and efficiency outperformed Rouibah et al.'s (2022) method in terms of both accuracy and efficiency.

Keywords: Linear, volterra, second derivative, power series, trigonometric, hybrid point


How to Cite

Adu, A., Cephas , I. N., & Ahmadu , J. C. (2023). Three-Step Three off Grid Points for Solving Volterra Integral Equation of the Second Kind. Asian Journal of Pure and Applied Mathematics, 5(1), 512–523. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1908

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