On the Regularization-Homotopy Analysis Method for Linear and Nonlinear Fredholm Integral Equations of the First Kind
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 1
Abstract
Fredholm integral equations of the first kind are considered by applying regularization method and the homotopy analysis method. This kind of integral equations are considered as an ill-posed problem and for this reason needs an effective method in solving them. This method first transforms a given Fredholm integral equation of the first kind to the second kind by the regularization method and then solves the transformed equation using homotopy analysis method. Approximation of the solution will be of much concern since it is not always the case to get the solution to converge and the existence of the solution is not always guaranteed as this kind of Fredholm integral equation is not well-posed.
Authors and Affiliations
Ibrahim Issaka, William Obeng-Denteh, Isaac Owusu Mensah, Edward Prempeh, Patrick Akwasi Anamuah Mensah
Keywords
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- EP ID EP338406
- DOI 10.9734/ARJOM/2017/32585
- Views 87
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