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
- Gideon Wyasu, The influence of natural fermentation, malt addition and soya fortification on the sensory and physio-chemical characteristics of gyok-millet gruel , Communication In Physical Sciences: Vol. 4 No. 1 (2019): VOLUME 4 ISSUE 1
- Uchechukwu Susan Oruma, Pius Oziri Ukoha, Lawrence Nnamdi Obasi, Synthesis, Characterization and Biological Studies of Trinuclear Ce(IV) Salen Capped Complex with 5-amino-2,4,6-tris(4-carboxybenzimino)-1,3-pyrimidine , Communication In Physical Sciences: Vol. 5 No. 3 (2020): VOLUME 5 ISSUE 3
- Ivwurie Wisdom, Okorodudu, E.Oghenetega, Assay of Aliphatic Hydrocarbons in Soils from Selected Areas in Ughelli and its Environs, Delta State, Nigeria , Communication In Physical Sciences: Vol. 8 No. 2 (2022): VOLUME 8 ISSUE 2
- Oyakojo Emmanuel Oladipupo, Abdulahi Opejin, Jerome Nenger, Ololade Sophiat Alaran, Coastal Hazard Risk Assessment in a Changing Climate: A Review of Predictive Models and Emerging Technologies , Communication In Physical Sciences: Vol. 12 No. 6 (2025): Volume 12 ISSUE 6
- Gideon Wyasu, Determination of Bacteriological and some physicochemical properties of Hospital wastewater , Communication In Physical Sciences: Vol. 4 No. 2 (2019): VOLUME 4 ISSUE 2
- Babatunde Ogunyemi, Quantum Chemical Insights into the Antioxidant Mechanisms of Luteolin and Isorhamnetin: Elucidating Structure-Reactivity Relationships, Pharmacokinetics, and Toxicity for Therapeutic Potential , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- Okoche Kelvin Amadi, Stella Mbanyeaku Ufearoh, Innocent Ajah Okoro, Paulina Adaeze Ibezim, Mitigation of the Corrosion of Mild Steel in Acidic Solutions Using An Aqueous Extract of Calopogonium muconoide (cm) as a green corrosion inhibitor , Communication In Physical Sciences: Vol. 8 No. 3 (2022): VOLUME 8 ISSUE 3
- Martins Moses, Ultraviolet-Visible Spectrophotometric Determination of Caffeine in Different Tea Samples , Communication In Physical Sciences: Vol. 9 No. 2 (2023): VOLUME 9 ISSUE 2
- Idegwu Abel Daniel, Milam Charles, Usaku Reuben, John Stanley, Joseph Christiana, Spectroscopic Analysis of Some Air Pollutants in Yola North LGA, Adamawa State, Nigeria , Communication In Physical Sciences: Vol. 12 No. 6 (2025): Volume 12 ISSUE 6
- N. B. Essien, Sorghum Waste as an Efficient Adsorbent for the Removal of Zn2+and Cu2+ from Aqueous Medium , Communication In Physical Sciences: Vol. 5 No. 2 (2020): VOLUME 5 ISSUE 2
You may also start an advanced similarity search for this article.