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- W2584570590 abstract "In this thesis,we focus on using the Homotopy Analysis Method (HAM) to Fred-holm and Volterra integral equation of the second kind.The HAM is based onhomotopy,a fundamental concept in topology and di erential geometry.After theclassi cation of these integral equations ,we take a look at a review of integralequation and Homotopy Analysis Method (HAM) coupled with theories and def-initions of homotopy theory.The description of the method (HAM) to solve Fred-holm and Volterra integral equations is analyzed.In this method one constructsa continuous mapping of an initial guess approximation to the exact solution ofconsidered equation.Application of the HAM to some examples of Fredholm andVolterra integral equations is carried out together with the auxiliary parameter },which controls the convergence rate of the series solution. After the realizationof the exact solution of the various considered equations, MATLAB,a computa-tional software is used to produce graphs of the various exact solutions whichshows the convergence of the series solution.%%%%A thesis submitted to the Department of Mathematics,Kwame Nkrumah University of Science and Technology inpartial fulfillment of the requirement for the Degreeof Master of Philosophy in Pure Mathematics, 2016%%%%KNUST" @default.
- W2584570590 created "2017-02-10" @default.
- W2584570590 creator A5078680838 @default.
- W2584570590 date "2017-01-20" @default.
- W2584570590 modified "2023-09-26" @default.
- W2584570590 title "Using homotopy analysis method for solving fredholm and volterra integral equations" @default.
- W2584570590 hasPublicationYear "2017" @default.
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