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
- Muhammad Bello, Musa Bello, Dunah Lawissense Godfrey, Effect of Multimedia-Enriched Lecture Method on Retention Among Secondary School Physics Students in Kano Metropolis, Nigeria , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- Njoku, Kevin Ndubuisi Chikezie, Okoli, Odilichukwu Christian., A Note On The Proofs Of Cramer’s Formula , Communication In Physical Sciences: Vol. 11 No. 1 (2024): VOLUME 11 ISSUE 1
- Oluwafemi Samson Afolabi , Load-Bearing Capacity Analysis and Optimization of Beams, Slabs, and Columns , Communication In Physical Sciences: Vol. 6 No. 2 (2020): Communication in Physical Sciences
- Ajogwu Cordelia Odinaka, Aaron Auduson, Tope Alege, Yusuf Odunsanwo, Formation Evaluation Using Integrated Petrophysical Data Analysis of Maboro Field Niger Delta Sedimentary Basin, Nigeria , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- Uba Sani, Abdulkadir Ibrahim, Akande, Esther Oluwatoyosi, John, Oghenetega Mercy, Murtala, Mohammed Rumah, Assessment of Surface Water Quality in Zaria Metropolis: Implications for Environmental Health and Sustainable Management , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- Stephen Eyije Abechi, Casmir Emmanuel Gimba , Adamu Uzairu, Odike Jotham Ocholi, Comparative Analysis of Methods of Activated Carbon Surface Area Determination , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- Chigozie. Chibuisi, Bright O. Osu, Kevin Ndubuisi C. Njoku, Chukwuka Fernando Chikwe, A Mathematical Investigation of Fuel Subsidy Removal and its Effects on Nigerian Economy , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- Ola-Buraimo A. Olatunji , Musa Rukaya, Granulometric and Petrographic Assessment of the Textural, Minerological and Paleoenvironment of Deposition of Gulma Sandstone Member, Gwandu Formation, Sokoto Basin, Northwestern Nigeria , Communication In Physical Sciences: Vol. 11 No. 3 (2024): VOLUME 11 ISSUE 3
- L. I. Ibrahim, A. Abdulazzez, A. Usman, U. M. Badeggi, A. I. Muhammad, Comparative Study of the Medicinal Values of Indigoferatinctoria and Gossypium Hirsutum , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Samson Osinachi Nwadibia, Henry Patrick Obong, Ephraim Okechukwu Chukwuocha, Analytical Solutions of the Schrodinger Equation with q-Deformed Modified Mobius Square Potential Using the Nikiforov-Uvarov Method , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
You may also start an advanced similarity search for this article.