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
- Chukwunenyoke Amos-Uhegbu, Mmaduabuchi Uche Uzoegbu, Okwuchukwu Peter Odoh , Chukwudike Dandy Akoma , Hydrogeology And Ground Water Potentials Of The Pre-Cambrian Basement Rocks Of Tabe And Environs In Gwagwalada Area, Abuja North Central, Nigeria , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
- Aaron Enechojo Auduson, Abdullahi Emmanuel Bala, Kizito Ojochenemi Musa,, Mary Melemu Shaibu, Michael Adewale Ibitomi, Ijeoma Milicent Agbo-Okiyi, Baba Aminu Muawiya, Fabian Apeh Akpah, Philomina Okanigbuan, Ifeanyi Obihan, Integrated Geoscientific Techniques for Water Resource Potential: A Case Study of Felele Campus, Federal University Lokoja , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Humphrey Ibifubara, Hassan Saheed Ayobami, Erusiafe Nald Ese, Design And Implementation of Cost Effective SMS-Based Online Voting System for Credible election in Nigeria , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Isaac Chukwutem Abiodun, Monday Edward Edem, Obasesam Ebri Agbor, Investigation of the Structural and electronic properties of Ternary AB₂X₄ based material via Density Functional Theory (DFT) for Optoelectronic Applications , Communication In Physical Sciences: Vol. 12 No. 1 (2024): VOLUME 12 ISSUE 1
- Emmanuel John Ekpenyong, Evaluating The Performances of Estimators of Population Mean Weight of Babies in FMC, Imo State Under Simple Random Sampling Scheme , Communication In Physical Sciences: Vol. 12 No. 1 (2024): VOLUME 12 ISSUE 1
- Stella Mbanyeaku Ufearoh, Onyinyechi Uloma Akoh, Christian Odih, GC-MS Characterization and Anti-Anaemic/Haematological Activity of Ethanol Extract of Solanum Aethiopicum Leaves , Communication In Physical Sciences: Vol. 12 No. 1 (2024): VOLUME 12 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
- F. O. Isiogugu, ON SELECTION ALGORITHM , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- 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
- Emeka C. Ogoko, Water Quality Assessment of Dug Wells in Lagos Island, Southwestern Nigeria , Communication In Physical Sciences: Vol. 4 No. 2 (2019): VOLUME 4 ISSUE 2
You may also start an advanced similarity search for this article.