Non-local Solution of Mixed Integral Equation with Singular Kernel

Authors

  • Mohamed Abdou

  • Sameha Raad

  • Wafaa Wahied

Keywords:

non-local solution, fredholm-volterra integral equation, system of fredholm integral equations, weakly kernel, algebraic system

Abstract

In this paper, we consider a non-local mixed integral equation in position and time in the space 2 L 1,1 C 0,T ;T. Then, using a quadratic numerical method, we have a system of Fredholm integral equations (SFIEs), where the existence of a unique solution is considered. Moreover, we consider Product Nystrom method (PNM), as a famous method to solve the singular integral equations, to obtain an algebraic system. Finally, some numerical results are considered, and the error estimate, in each case, is computed.

How to Cite

Mohamed Abdou, Sameha Raad, & Wafaa Wahied. (2015). Non-local Solution of Mixed Integral Equation with Singular Kernel. Global Journal of Science Frontier Research, 15(F7), 57–67. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/1650

Non-local Solution of Mixed Integral Equation with Singular Kernel

Published

2015-05-15