An Approximate Solutions of two Dimension Linear Mixed Volterra- Fredholm Integral Equation of the Second Kind via Iterative Kernel Method
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Abstract
Abstract: In this work, we reformulate and apply iterative kernel method (IKM) for solving two dimension mixed Volterra-Fredholm integral equation of the second kind (MVFIE-2). The suitable algorithm for IKM is suggested and the programming for of the algorithm of the technique is written by Matlab programs. The computer application for the algorithm is tested on a number numerical examples. The results which are obtained by this technique compared with exact solution and some new theorems are proved; for decision the results computing the least square error (LSE) of the IKM and running time (RT) for the program.
Full Text
An Approximate Solutions of two Dimension Linear Mixed Volterra- Fredholm Integral Equation of the Second Kind via Iterative Kernel Method
Talaat Ismael Hasan
Abstract: In this work, we reformulate and apply iterative kernel method (IKM) for solving two dimension mixed Volterra-Fredholm integral equation of the second kind (MVFIE-2). The suitable algorithm for IKM is suggested and the programming for of the algorithm of the technique is written by Matlab programs. The computer application for the algorithm is tested on a number numerical examples. The results which are obtained by this technique compared with exact solution and some new theorems are proved; for decision the results computing the least square error (LSE) of the IKM and running time (RT) for the program.
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