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 Ochommadu Kelechi , Onwubuariri Nnamdi Chukwuebuka, Chiazor Faustina Jisieike, Ezere, Uchechi Ahunna, Muyiwa Michael Orosun, Chisom Loveth Kelechi, Health Risk Assessment of Heavy Metal Contamination in Water Sources at Michael Okpara University of Agriculture , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- Ibrahim Usman, Williams Nashuka Kaigama, Thankgod Daniel, Abu Emmanuel Benjamin, Assessment of Water Quality from Hand Dug Wells in Kurmin Siddi, Kaduna State , Communication In Physical Sciences: Vol. 5 No. 2 (2020): VOLUME 5 ISSUE 2
- Sunday Emmanson Udoh, Effect of Intake Work Corrosion on Water Quality and Remedial Measures , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- F. O. Isiogugu, ON SELECTION ALGORITHM , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- A. D. Onu, Kinetics of Cu2+ - Catalysed Redox Reaction of n-(2-hydroxylethyl) ethylenediaminetriacetatocobalt(III) with Hydrazine Monohydrate in Aqueous Acid , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- Obinna Christian Dinneya, Akeem Adigun, Preliminary Gold Mineralization Potential Assessment of a Site Covering Parts of Gwagwalada and Abaji Area Council, Federal Capital Territory (Abuja) , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- Godwin Ezikanyi Okey, Yusuf Jibril, G. A. Olarinoye, Comparative Analyses amongst 3 Hybrid Controllers - MPC-HGAFSA, LQR-HGAFSA and PID-HGAFSA in a Micro Grid Power System Using MAD and RMSE as Measures of Performance Metrics , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- Godwin Okumagbe Aigbadon, Azuka Ocheli, Tope Shade Alege, Esther Onozasi David, Petrological, palynological analysis and Geochemistry of Maastrichtian Patti Shale in some parts of the southern Bida Basin, Nigeria: Implications for provenances and hydrocarbon studies , Communication In Physical Sciences: Vol. 9 No. 3 (2023): VOLUME 9 ISSUE 3
- YUSUF MOHAMMED AUWAL, OSITA CHUKWUDI MELUDU, TIMTERE PASCAL, Computational Modeling and validation of Indoor Radon Gas Dynamics and Accumulation Using Ansys Fluent Simulation , Communication In Physical Sciences: Vol. 12 No. 4 (2025): VOLUME1 2 ISSUE 4
- Amaku James Friday, Victor Okezie Ikpeazu, Ifeanyi Otuokere, Kalu K. Igwe, Targeting Glycogen Synthase Kinase-3 (Gsk3β) With Naturally Occurring Phytochemicals (Quercetin and its Modelled Analogue): A Pharmacophore Modelling and Molecular Docking Approach , Communication In Physical Sciences: Vol. 5 No. 4 (2020): VOLUME 5 ISSUE 4
You may also start an advanced similarity search for this article.