Article detail · 2022 · article
THE LUCAS POLYNOMIAL SOLUTION OF LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Data source split
- YÖKSİSYÖKSİS article record
- YÖKSİS venueMatrix Science Mathematic (MSMK)
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
- Semantic Scholarcitation count (not merged with OpenAlex)
Abstract
In this study, linear Volterra-Fredholm integral equations are approximatively solved in terms of Lucas polynomials about any point in this study using a practical matrix approach. This technique uses collocation points and Lucas polynomials to transform the aforementioned linear Volterra-Fredholm integral problem into a matrix equation. Lucas coefficients are unknown in the system of linear algebraic equations. With the use of an error estimation, some illustrated examples are also provided. The outcomes demonstrate how effective and practical the suggested methodology is. Code was created in MATLAB to acquire the matrix equations and answers for the chosen issues.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
6citationsOpenAlex · cited_by_count (cache / database)
2 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2026 A Frobenius¿Euler Polynomial Matrix-Collocation Method for Nonlinear Duffing-Type Oscillators: Structural Conditioning, Spectral Convergence, and Piecewise Long-Time Integration" for publicationCitations 0 · OpenAlex
- 2026 A Hybrid Experimental–Differential Equation Model for Predicting Mechanical Properties of FDM-Printed PLA Using Lucas Polynomial CollocationCitations 0 · OpenAlex