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
- O.V. Ikpeazu, Ifeanyi E.Otuokere, K.K.Igwe, Gas Chromatography–Mass Spectrometric Analysis of Bioactive Compounds Present in Ethanol Extract of Combretum hispidum (Laws) (Combretaceae) Root , Communication In Physical Sciences: Vol. 5 No. 3 (2020): VOLUME 5 ISSUE 3
- Vincent Oseikhuemen Odia-Oseghale, Joseph Odion Odia-Oseghale, Environmental Implications of Quarrying and Waste Management: A Case Study of Okhoro, Benin City , Communication In Physical Sciences: Vol. 12 No. 4 (2025): VOLUME1 2 ISSUE 4
- Humphrey Sam Samuel, Emmanuel Edet Etim, John Paul Shinggu, Bulus. Bako , Machine learning of Rotational spectra analysis in interstellar medium , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- Felix B. Fatoye, Yomi B. Gideon, Joseph I. Omada, Geochemical Characteristics of the Cretaceous Emewe–Efopa Coal in the Northern Anambra Basin of Nigeria , Communication In Physical Sciences: Vol. 7 No. 1 (2021): VOLUME 7 ISSUE 1
- Irene Edem Johncross, Fanifosi Seyi Josiah, Abidemi Obatoyinbo Ajayi, Resource recovery from Sugar Cane Biomass for the Synthesis of Silicon Nanoparticles , Communication In Physical Sciences: Vol. 12 No. 1 (2024): VOLUME 12 ISSUE 1
- Agada Livinus Emeka, Adetola Sunday Oniku, Osita Meludu, Evaluation of Groundwater Potential in Gashua Northeast Nigeria, Using Electrical Resistivity Method , Communication In Physical Sciences: Vol. 5 No. 3 (2020): VOLUME 5 ISSUE 3
- Onyeije Ugomma Chibuzo, Imeh Okop, Chemical Information from GCMS Analysis of Acetone Extract of Piper guineense Leaves. Part 1 , Communication In Physical Sciences: Vol. 5 No. 4 (2020): VOLUME 5 ISSUE 4
- Nweze Rosemary Chika Nweze, Nneka MaryAnn Okafor, Chinagolum Ituma, Hybrid Intelligent Model for Prediction of Autism Spectrum Disorder in Children , Communication In Physical Sciences: Vol. 13 No. 6 (2026): VOLUME 13 Issue 6
- Rita Nneka Nwaka, James Kona, Energy Deprivation and Monetary Poverty Transitions in Nigeria , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Wisdom, Ivwurie, Daniel, Okiriguo, Evaluation of n-Alkanes Hydrocarbon from two Communities in Udu Local Government Area, Delta State , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
You may also start an advanced similarity search for this article.