Non-local Solution of Mixed Integral Equation with Singular Kernel

Mohamed Abdou; Sameha Raad; Wafaa Wahied

Authors

Mohamed Abdou
Sameha Raad
Wafaa Wahied

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.

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How to Cite

Non-local Solution of Mixed Integral Equation with Singular Kernel. (2015). Global Journal of Science Frontier Research, 15(F7), 57-67. https://journalofscience.org/index.php/GJSFR/article/view/1650

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