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
- Itoro Esiet Udo, Imaobong Daniel Ekwere, Idongesit Bassey Anweting, Beneficiation Process of Locally Available Bentonitic Clay: An Efficient Utilization in Drilling Fluid Application in Akwa Ibom State , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Simbiat Atinuke Lawal, Samuel Omefe, Adeseun Kafayat Balogun, Comfort Michael, Sakiru Folarin Bello, Itunu Taiwo Owen, Kevin Nnaemeka Ifiora, Circular Supply Chains in the Al Era with Renewable Energy Integration and Smart Transport Networks , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Okoche K. Amadi, Uloma O. Akoh, Innocent A. Okoro, Egwuobasi Nwabuokechi,, Decontamination of Pb2+, Cd2+ and Ni2+ Polluted Water by Adsorption Unto Butterfly Pea (Centrosema pubescens) Seed Pod , Communication In Physical Sciences: Vol. 6 No. 1 (2020): VOLUME 6 ISSUE 1
- Joseph Amajama, Ahmed Tunde Ibrahim , Julius Ushie Akwagiobe, Influence of Atmospheric Temperature on the Signal Strength of Mobile Phone Communication , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
- Bertha Onyenachi Akagbue, Mark Ndako Ibrahim, Oseigbovo Favour Ofure, Oluwaiye Unity Ekugbe, Onah Kyrian, Chibuzor Titus Amaobichukwu, Mu’awiya Baba Aminu, Pam Dajack Dung, Suleiman Isa Babale, Sadiq Mohammed Salisu, Comprehensive Assessment and Remediation Strategies for Air Pollution: Current Trends and Future Prospects; A Case Study in Bompai Industrial Area, Kano State, Nigeria. , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- Tope Oyebade, Chemical Pollutants and Human Vulnerability: An Integrated Review of Environmental Chemistry and Public Health , Communication In Physical Sciences: Vol. 9 No. 4 (2023): VOLUME 9 ISSUE 4
- I. O. Isaac, Synthesis Of Pharmacologically Active Hexahydroacridine-1,8 (2H, 5H)-diones using Nickel (II) Flouride Tetrahydrate as a New Heterogeneous Catalyst , Communication In Physical Sciences: Vol. 5 No. 2 (2020): VOLUME 5 ISSUE 2
- Anduang Ofuo Odiongenyi, Removal of Ethyl Violet Dye from Aqueous Solution by Graphite Dust and Nano Graphene Oxide Synthesized from Graphite Dust , Communication In Physical Sciences: Vol. 4 No. 2 (2019): VOLUME 4 ISSUE 2
- Babatunde T. Ogunyemi, Richard A. Ukpe, Quantum Molecular Parameters for the Prediction of Corrosion Inhibition potentials of some Alkaloids in Cryptocarya nigra Stem , Communication In Physical Sciences: Vol. 8 No. 4 (2022): VOLUME 8 ISSUE 4
- 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
You may also start an advanced similarity search for this article.