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Ass. Lect. Mohamed Abdallah Abdel-Aty Ali :: Publications: |
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| Title: | A study of normality and continuity for mixed integral equations |
| Authors: | M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty |
| Year: | 2018 |
| Keywords: | Mixed integral equations; A linear system of Fredholm integral equations (LSFIEs); Resolvent kernel; Phase-lag. |
| Journal: | J. Fixed Point Theory Appl. |
| Volume: | 20 |
| Issue: | 1 |
| Pages: | Not Available |
| Publisher: | Springer International Publishing AG, part of Springer Nature 2018 |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Abdallah Abdel-Aty Ali_A study of normality and continuity for mixed integral equations.pdf |
| Supplementary materials | Not Available |
| Abstract: |
This paper presents a numerical method for solving a mixed Fredholm–Volterra linear integral equation of the second kind in a Banach space. Under certain conditions, the existence and uniqueness of the solution are proved, using Banach’s fixed point theorem. Using Nystrom’s method, the problem is reduced to a system of linear integral equations, whose solution is then found by the resolvent method. The ideas are interesting and this area caught the attention of many researchers, having so many applications. This paper starts with a brief introduction in the subject and then proposes a new scheme which is discussed in details. The numerical examples in Sect. 6 illustrate the applicability of the theoretical results. |
