Numerical Techniques for Solving Integral Equations with Carleman Kernel

dc.contributor.advisorQatanani, Naji
dc.contributor.authorDraidi, Wala’ Mohammad Ameen
dc.date.accessioned2018-02-28T09:29:08Z
dc.date.available2018-02-28T09:29:08Z
dc.date.issued2017-02-16
dc.description.abstractIntegral equations with Carleman type kernel arise frequently in physics and engineering,theory of elasticity, mathematical problems of radiativeheat transformationsand radiative equilibrium. In this work we focus our attention mainly on the numerical handling of the Fredholm and Volterra integral equations with Carleman kernel. The numerical treatment of such equations can be achieved by using the following numerical techniques, namely; Toeplitz matrix method, Product Nystrom method, sinc-collocation method and Laplace Adomian decomposition method. To test the efficiency of these methods, we consider some numerical test cases. Numerical results have shown that product Nystrom method is one of the most powerful numerical techniques for solving Fredholm integral equation with a Carleman kernel in comparison with the other numerical techniques. On the other hand, we see clearly that the Laplace Adomian decomposition method is a very reliable and efficient method for solving Volterra integral equations with Carleman kernel.en_US
dc.identifier.urihttps://hdl.handle.net/20.500.11888/13232
dc.language.isoen_USen_US
dc.publisherAn-Najah National Universityen_US
dc.titleNumerical Techniques for Solving Integral Equations with Carleman Kernelen_US
dc.title.alternativeالتقنيات العددية لحل المعادلات التكاملية ذات نواة كارلمنen_US
dc.typeThesisen_US
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