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
- Ikechukwu Otete, Analytical study of the Thermoresistivity Behavior of Zig-Zag Single-Walled (10,0) Carbon Nanotube Using the Deng-Fan-Hulthen Potential Model , Communication In Physical Sciences: Vol. 13 No. 2 (2026): VOLUME 13 ISSUE 2
- Paschal Bisong Nyiam, Abdellah Salhi, Solution Approaches to Multiple Objective Linear Programming , Communication In Physical Sciences: Vol. 13 No. 8 (2026): Volume 13, Issue 8
- 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
- I. Yinusa, Phytochemical Screening, GC-MS And FTIR Analysis of Ethanol Extract of Piliostigma thonningii (schum Milne—Redth) Leaf , Communication In Physical Sciences: Vol. 5 No. 1 (2020): VOLUME 5 ISSUE 1
- Omorinsola Oluwasegun Goriola, Oluwafemi Clement Adeusi, Azeez Rabiu, Cybersecurity Challenges and Solutions for the 21st Century , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- A. E. Chukwude, Timing noise analysis of 27 HartRAO radio pulsars , Communication In Physical Sciences: Vol. 1 No. 1 (2010): VOLUME 1 ISSUE 1
- Elijah Danladi, Paul. A.P. Mamza, S Yaro, M. T Isa, E. R Sadiku, Dynamic Mechanical Properties and Surface Morphology of Glass/Jute/Kevlar Fibres reinforced Hybrid Composite , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Elijah Danladi, Paul. A.P. Mamza, S.A. Yaro, M.T. Isa, E. R. Sadiku, Tshwane, Dynamic Mechanical Properties and Surface Morphology of Glass/Jute/Kevlar Fibres reinforced Hybrid Composite , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
You may also start an advanced similarity search for this article.