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
- Ajogwu Cordelia Odinaka, Mu’awiya Baba Aminu, Christopher Dalom, Aaron Enechojo Auduson, Andarawus Yohanna, Frankie Ojo Balogun, Nengak Musa, Ibrahim Yusuf Anzaku,, Pam Dajack Dung, Andrew Changde. Nanfa, Okiyi, Ijeoma Millicent, Tolulope Idiat Ogunsanya, Petrographic Studies of Migmatite-Gneiss, Quartzites and Pegmatites Complex in Crusher Area of Lokoja, Kogi State, Nigeria , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- A.O Obioha, Spatial Variability of key climate and air quality parameters across some Nigerian cities , Communication In Physical Sciences: Vol. 12 No. 5 (2025): Vol 12 ISSUE 5
- Nwokem, Calvin Onyedika, Kantoma, Dogara , Zakka Israila Yashim , Zaharaddeen Nasiru Garba, Kinetic and Thermodynamic Studies on Adsorption of Pb2+ and Cr3+ from Petroleum Refinery Wastewater using Linde Type a Zeolite Nanoparticle. , Communication In Physical Sciences: Vol. 10 No. 3 (2023): VOLUME 10 ISSUE 3 (2023-2024)
- Pius Onyeoziri Ukoha, Uchechukwu Ruth Obeta , Reduction of the Adipato-Bridged Binuclear Iron(III) Complex, [(Fesalen)2adi] by Thioglycolic Acid: Kinetic and Mechanistic Study , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- Joseph Jacob, Shinggu D. Yamta, Influence of Moisture Absorption on some Mechanical Properties of Groundnut Shell Powder Reinforced Waste LDPE Composites , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Richard Alexis Ukpe, Joint Effect of Ethanol Extract of Orange Peel and halides on the Inhibition of the Corrosion of Aluminum in 0.1 M HCl: An approach to Resource Recovery , Communication In Physical Sciences: Vol. 4 No. 1 (2019): VOLUME 4 ISSUE 1
- Olawale Babatunde Olatinsu, Mathew Osaretin Ogieva, Amidu Abiola Ige-Adeyeye, Investigation of Frequency-dependent Conductivity Signatures of Geological Materials from Ewekoro, Eastern Dahomey Basin , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Okoche Kelvin Amadi, Onyinyechi Uloma Akoh, Godson Chukwudi Eric, Adsorption Studies on the Inhibitive Properties of Aqueous Extracts of Theobroma cacao (TC) Leaves on Mild Steel in 1.0 M HCl , Communication In Physical Sciences: Vol. 9 No. 3 (2023): VOLUME 9 ISSUE 3
- P. O. Ameh, N. O. Eddy, Theoretical and Experimental Investigations of the Corrosion Inhibition Action of Piliostigma Thonningii Extract on Mild Steel in Acidic Medium , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- Emeka Chima Ogoko, Kelle Henrietta Ijeoma, Gana J. Babaman, Quality Evaluation of Some Brands of Amoxicillin Capsules Dispensed in Lagos State, Nigeria , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
You may also start an advanced similarity search for this article.