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
- Felix Bamidele Fatoye, Michael Adewale Ibitomi, Quality Evaluation of Udane–Biomi Coal in the Northern Anambra Basin of Nigeria , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Salihu Takuma, Siaka Abdulfatai Adabara, Kamal Suleiman Kabo, Gas Chromatography-Mass Spectrometry (GC-MS) Analysis of Some Plants Extract , Communication In Physical Sciences: Vol. 12 No. 2 (2025): VOLUME 12 ISSUE 2
- Hamza Abubakar Hamza, Abubakar Danjuma Bajoga, Yusuf Mohammed Auwal, Hankouraou Seydou, Determination of Some Physicochemical Properties, Heavy Metals and Micronutrients of Some Energy Drinks Available in Nigeria , Communication In Physical Sciences: Vol. 12 No. 3 (2025): VOLUME 12 ISSUE 3
- I. I. Ibrahim, A. Absulazeez, A. Usman, M. U. Badeggi, A. I. Muhammad, Comparative Studies on Phytochemical Constituents Andantimicrobial Activity on Three Onion Species , Communication In Physical Sciences: Vol. 7 No. 4 (2021): VOLUME 7 ISSUE 4
- Obialo Solomon Onwuka, Elochukwu Pearl Echezona, Chimankpam Kenneth Ezugwu, Hydrogeology of Uburu and Environs, Southern Eastern, Nigeria , Communication In Physical Sciences: Vol. 3 No. 1 (2018): VOLUME 3 ISSUE 1
- A. Abdulazeez, N. C. Nwokem, I. I. Ibrahim, A. Uthman, H. L. Zubairu, M. Abubakar, Chemical Information from Proximate and Elemental Composition of Acalypha hispida Leaf , Communication In Physical Sciences: Vol. 5 No. 2 (2020): VOLUME 5 ISSUE 2
- Imaobong T. Adenugba, Nkeneke E. Akpainyang , Emem I. Ntekpere, Eteyen A. Uko, Agnes M. Jones, Incidence of Tinea pedis and Eczema among Male and Female Students: Effect of Hydraulic Oil and Antifungal Creams , Communication In Physical Sciences: Vol. 6 No. 1 (2020): VOLUME 6 ISSUE 1
- A. Yahaya, A.A. Abdulbasit, A.D. Onoja, A. Abdulkareem, O.L. Idowu, J. Odoma, V.F. Omale, D. Onuche, R.O. Nayo, J. S. Abimaje, Analysis of Heavy Metals in Roasted Meat (Suya) in Anyigba, Kogi State, Nigeria and their Health Risk Assessment , Communication In Physical Sciences: Vol. 6 No. 1 (2020): VOLUME 6 ISSUE 1
- E. C. Ogoko, Pollution status of soil within the vicinity of Automobile mechanic workshops in Owerri Municipality, Nigeria , Communication In Physical Sciences: Vol. 4 No. 1 (2019): VOLUME 4 ISSUE 1
- Koffa Durojaiye Jude, Omonile Jocob Funsho, Oladimeji Enock Oluwole, Edogbanya Helen Olaronke, Eghaghe Osas Stephen, Vivian Onechojo Obaje, Ibrahim Toyin Taofiq, A Unique Generalization of Einstein Field Equation; Pathway for Continuous Generation of Gravitational Waves , Communication In Physical Sciences: Vol. 10 No. 1 (2023): VOLUME 10 ISSUE 1
You may also start an advanced similarity search for this article.