Browsing by Author "Sorkun H.H."

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    Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
    (2009) Yalçinbaş S.; Sezer M.; Sorkun H.H.
    In this study, a Legendre collocation matrix method is presented to solve high-order Linear Fredholm integro-differential equations under the mixed conditions in terms of Legendre polynomials. The proposed method converts the equation and conditions to matrix equations, by means of collocation points on the interval [-1, 1], which corresponding to systems of linear algebraic equations with Legendre coefficients. Thus, by solving the matrix equation, Legendre coefficients and polynomial approach are obtained. Also examples that illustrate the pertinent features of the method are presented and by using the error analysis, the results are discussed. © 2009 Elsevier Inc.
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    Approximate solutions of linear Volterra integral equation systems with variable coefficients
    (2010) Sorkun H.H.; Yalçinbaş S.
    In this paper, a new approximate method has been presented to solve the linear Volterra integral equation systems (VIEs). This method transforms the integral system into the matrix equation with the help of Taylor series. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to show this capability and robustness, some systems of VIEs are solved by the presented method in order to obtain their approximate solutions. © 2010.
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    Variational Iteration Method for Volterra Functional Integrodifferential Equations with Vanishing Linear Delays
    (Hindawi Limited, 2014) Konuralp A.; Sorkun H.H.
    Application process of variational iteration method is presented in order to solve the Volterra functional integrodifferential equations which have multi terms and vanishing delays where the delay function θ(t) vanishes inside the integral limits such that θ(t)=qt for 0