Steffensen’s Method for Solving Fredholm Integral Equations of the Second Kind

المؤلفون

  • Amna Milad Hassan General Department, Faculty of Engineering, Bani Waleed University, Bani Walid, Libya. مؤلف

DOI:

https://doi.org/10.58916/jhas.v9i5.538

الكلمات المفتاحية:

Stevenson's method، Fredholm integral equation، open sale formulas، exact solution، approximate solution

الملخص

In this article, the computational Steffensen’s method is presented for solving Fredholm integral equation of the second kind. The scheme is based on open quadrature formulas. A comparison between the results of the exact solution and the approximate solution were done and showed that the scheme is straightforward and applicable for this integral equation and other types of integral equations.

التنزيلات

تنزيل البيانات ليس متاحًا بعد.

السيرة الشخصية للمؤلف

  • Amna Milad Hassan، General Department, Faculty of Engineering, Bani Waleed University, Bani Walid, Libya.

    الاسم رباعي

    اّمنة ميلاد امحمد حسن

    الاسم بالإنجليزية

    Amna Milad Emhemed Hassan

    تاريخ ومكان الميلاد

    07-02-1982  بني وليد

    الدرجة العلمية

    محاضر مساعد

    جهة العمل

    الكلية

    الهندسة

    القسم

    العام

المراجع

Wazwaz, A. M. (2011). Linear and nonlinear integral equations (Vol. 639, pp. 35-36). Berlin: Springer.

Collins, P. J. (2006). Differential and integral equations. OUP Oxford.

Martin, P. A., & Farina, L. (1997). Radiation of water waves by a heaving submerged horizontal disc. Journal of Fluid Mechanics, 337, 365-379.

Yang, Y., Tang, Z., & Huang, Y. (2019). Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method. Applied Mathematics and Computation, 349, 314-324.

Hamedzadeh, D., & Babolian, E. (2018). A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces. Iranian Journal of Numerical Analysis and Optimization, 8(1), 1-18.

Shoukralla, E. S., Ahmed, B. M., Saeed, A., & Sayed, M. (2022). Vandermonde-interpolation method with Chebyshev nodes for solving Volterra integral equations of the second kind with weakly singular kernels. Engineering Letters, 30(4), 1176-1184.

Musbah, F. S., Miftah, M. M., & Hamdin, H. A. S. B. (2024). A Comparison Between Some Iterative Quadrature Methods for the Numerical Solution of the Second-Kind Fredholm Integral Equations.

مجلة جامعة بني وليد للعلوم الإنسانية والتطبيقية, 9(خاص بالمؤتمر الثالث للعلوم والهندسة), 164-172.‎

Jacques, I. (2012). Numerical analysis. Springer Science & Business Media.

Hamdin, H. S. B., & Musbah, F. S. (2023). Hybrid Dual Quadrature Rules Combining Open and Closed Quadrature Rules Enhanced by Kronrod Extension or Richardson's Extrapolation for Numerical Integration.

Rahbar, S., & Hashemizadeh, E. (2008, July). A computational approach to the Fredholm integral equation of the second kind. In Proceedings of the World Congress on Engineering (Vol. 2, pp. 933-937).

التنزيلات

منشور

2024-12-01

إصدار

القسم

Article

كيفية الاقتباس

Amna Milad Hassan. (2024). Steffensen’s Method for Solving Fredholm Integral Equations of the Second Kind. مجلة جامعة بني وليد للعلوم الإنسانية والتطبيقية, 9(5), 17-24. https://doi.org/10.58916/jhas.v9i5.538

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