Analytical Approach to Approximate the Solution of Volterra and Fredholm Integral Equations
Tóm tắt
The main aim of this work is the use of a semi analytical method to obtain series solution of Volterra and Fredholm integral equations of the second kind, the method so-called homotopy asymptotic method. The reliability and consistency of the proposed method is tested by solving different problems and the obtained results are compared with Expansion Iterative Method (EIM), which shows the effectiveness and accuracy of the proposed technique. Moreover, OHAM does not required discretization like other numerical method and also free from small or large parameter assumption. The present technique uses auxiliary function containing auxiliary constants which control the convergence. OHAM is straight forward and easily implementable.
Tài liệu tham khảo
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