Convergence Analysis of Sinc-Collocation Scheme With Composite Trigonometric Function for Fredholm Integral Equations of the Second Kind
DOI:
https://doi.org/10.4314/awh85w70Keywords:
Fredholm integral equations of the second kind, Composite trigonometric function, Sinc approximation, Collocation method, Convergence analysisAbstract
The paper discusses the convergence of Sinc collocation scheme for the solution of Fredholm integral equation of the second kind. A modified composite trigonometric function is employed as a variable transformation function for this procedure. We first show that the constructed variable transformation function decays exponentially and thus satisfies the conditions for the error bound associated with single exponential transformation functions. Next, the convergence analysis of the scheme showing exponential convergence is discussed. Finally, some numerical examples are presented to illustrate the efficiency and stability of the numerical scheme.
Published
2024-06-10
Issue
Section
Articles
How to Cite
Convergence Analysis of Sinc-Collocation Scheme With Composite Trigonometric Function for Fredholm Integral Equations of the Second Kind. (2024). Communication In Physical Sciences, 11(3), 463-475. https://doi.org/10.4314/awh85w70
Similar Articles
- Naziru Imam, Isreal I. Omoniyi, Paul Ameh, Study of the Functional Groups Associated with the Corrosion Inhibition of Stainless Steel Arch Bar in Acidic Medium by Khaya Grandifolia Gum Exudate , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Joy Nnenna Okolo, A Systematic Analysis of Artificial Intelligence and Data Science Integration for Proactive Cyber Defense: Exploring Methods, Implementation Obstacles, Emerging Innovations, and Future Security Prospects , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Ase M. Esabai, Edikan E. Akpanibah, Sylvanus K. Samaila, On Investment Model for a CARA Pension Scheme Member with Return of Contributions Clause for Mortgage Housing Scheme , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- Abdullahi Lawal, Musa Bello, Ahmed Musa Kona, Quasi-particle band structure and optical properties of Perylene Crystal for Solar Cell Application: A G0W0 Calculations , Communication In Physical Sciences: Vol. 8 No. 2 (2022): VOLUME 8 ISSUE 2
- Paul A. P. Mamza, Casmir E. Gimba , S. A. Yaro, Study on the Mechanical Properties of Low- Density Polyethylene Cow Horn Powder Composite , Communication In Physical Sciences: Vol. 8 No. 2 (2022): VOLUME 8 ISSUE 2
- Akeem B. Disu, Emmanuel Omokhuale, Effects of Injection and Heat Sink/Source on Convective Kuvshinki Fluid through a Porous Medium , Communication In Physical Sciences: Vol. 8 No. 2 (2022): VOLUME 8 ISSUE 2
- S. Sani , I. T Siraj , Copper(II) and Zinc(II) Complexes Synthesized by Green Mechanochemical Method and their Antimicrobial Studies , Communication In Physical Sciences: Vol. 7 No. 2 (2021): VOLUME 7 ISSUE 2
- Chisom Ugonna Obi, Theodore Chidiezie Chineke, Assessment of Particulate Matter Concentration and its health implications at four selected locations in Egbu, Imo State , Communication In Physical Sciences: Vol. 12 No. 8 (2025): VOLUME 12 ISSUE 8
- Emurode Williams, Lawrence Abakah, Aniedi Ojo, Chidinma Jonah, AI-Driven Analysis of Information Processing Capacity and Financial Stability in Delegated Asset , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
- Adam Aliyu, Nuhu Amina Kirim, Silas Ishaku, Aliyu Sambo Abubakar, Isolation, Characterization and In Vitro Evaluation of Antioxidant and Anti-Inflammatory Properties of Boswellia Serrata Stem Bark from Jalingo, Taraba State , Communication In Physical Sciences: Vol. 13 No. 8 (2026): Volume 13, Issue 8
You may also start an advanced similarity search for this article.