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.
Similar Articles
- Kingsley Uchendu, Chinaegbomkpa Umezurike, David, Friday Adiele, Position Analysis of the Relationship Between the Naira Exchange Rate, Gb Pounds, Euro and US-Dollars , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Kayode I. Ogungbemi, Analysis and Estimated Daily Dose Intake of Toxic Metals in Commonly Used Building Materials and Its Health Impacts on the Society in Lagos, Southwest Nigeria , Communication In Physical Sciences: Vol. 8 No. 3 (2022): VOLUME 8 ISSUE 3
- Edet O. Odokwo, Ngozi M. Uzoekwe, Gas Chromatography-Mass Spectrometry Vernonia Hymenolepis Analysis of the Solvent-Solvent Extract of Vernonia Hymenolepis Leaves , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Sani Uba, Proximate analysis of Hibiscus mutabilis seeds obtained from Samaru, Kaduna State , Communication In Physical Sciences: Vol. 9 No. 1 (2023): VOLUME 9 ISSUE 1
- Nsentip George Afangide, Abasi-ada Nnabuk Eddy, Statistical Thinking in Modern Journalism: A Quantitative Analysis of Data Literacy, News Accuracy, and Audience Trust , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Akanimo Edet Jonah, Stevens Azubuike Odoemelam, Marc Ogbuagu, Assessment of Gaseous Pollutants, Particulate Matter and Meteorological Parameters Around Ibom Power Plant in Ikot Abasi Local Government Area Of Akwa Ibom State, Nigeria , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Ibe Awodi, Nsidibe C Nwokem, Determination of trace metal, fat content and iodine value in canned fishes; sardine (Sardinella brasilienses) and mackerel (scomber scombus) , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Yunusa Idris, Effect of Reciprocal Constructivist Instructional Approach on Middle Basic Science Students’ Academic Achievement of Kaduna Education Zone, Kaduna State , Communication In Physical Sciences: Vol. 8 No. 2 (2022): VOLUME 8 ISSUE 2
- Franca Amaka Nwafor, Augustine Friday Osondu Ador, Stress Concentration at a Sharp Corner of an Elastic Strip under Anti-Plane Strain , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 ISSUE 4
- Kehinde Israel Omoniyi1, Zaharaddeen Nasir Garba, Mustapha Yusuf Hamza, Baba Abdullahi Alafara, Aroh Augustina Oyibo, Owolabi Ayowole Awwal, Dissolution Kinetics of the Hydrometallurgical Extraction of Tin from a Nigerian Cassiterite Ore Obtained From Jibia Local Government Katsina State , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
You may also start an advanced similarity search for this article.