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
- Blessing Ebong, Review on Microplastic-Polymer Composite Interactions: Assessing Contaminant Adsorption, Structural Integrity, and Environmental Impacts , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- Ndidiamaka Justina Agbo, Pius Oziri Ukoha, Uchechukwu Susan Oruma, Tania Groutso, Oguejiofo Theophilus Ujam, Solomon Ejike Okereke, Crystal Structure, in Silico Studies and Anti-diabetic Potentials of 3-e-(1,5-dimethyl-3-oxo-2-phenyl-2,3-dihydro-1h-pyrazol-4-yl)hyd -razinylidene]pentane-2,4-dione(hdpp)and its Cu(II) and Ni(II) complexes , Communication In Physical Sciences: Vol. 11 No. 4 (2024): VOLUME 11 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
- 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
- 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
- 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
- Saidu Usman, Comparative Study of Nutrient Compositions of Some Selected Cereal Grains Available in Shuwarin Market, Jigawa State, Nigeria , Communication In Physical Sciences: Vol. 9 No. 2 (2023): VOLUME 9 ISSUE 2
- Ugoetan Victor Agbogo, Rifore Belief Silas, Victor Inioluwa Olaoye, Philip Ifeanyi Jerome, Mathew Joshua, Investigation of the Inhibitive Properties of Bio-Inspired Starch-Polyvinyl Acetate Graft Copolymer (Ps-Pvagc) on  the Acid Corrosion of Mild Steel , Communication In Physical Sciences: Vol. 10 No. 2 (2023): VOLUME 10 ISSUE 2
You may also start an advanced similarity search for this article.