Browsing by Subject "Linear systems"

Now showing 1 - 7 of 7
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    The direct-perturbation method versus the discretization-perturbation method: Linear systems
    (Academic Press, 1997) Pakdemirli M.; Boyaci H.
    [No abstract available]
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    On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods
    (2005) Bildik N.; Özlü S.
    In this paper the alternating group explicit (AGE) iterative methods which is modified analogues of the classical alternating direction implicit (ADI) methods, are introduced. Helmholtz equation is transformed a linear system using by suitably finite difference equations and also the solution of this system is done with AGE methods. Numerical striking results are obtained by using Maple V computer programming. © 2004 Elsevier Inc. All rights reserved.
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    On the solution of Poisson equation by alternating group explicit iterative method
    (2005) Bildik N.; Avci G.
    In this paper the alternating group explicit (AGE) iterative methods which are modified analogues of the classical alternating direction implicit (ADI) methods, are introduced. Poisson equation is transformed a linear system using suitably finite difference equations and also the solution of this system is done with AGE methods. Numerical extraordinary results are obtained by using Maple V computer programming. © 2004 Elsevier Inc. All rights reserved.
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    Legendre series solutions of Fredholm integral equations
    (Association for Scientific Research, 2010) Yalçinbas S.; Aynigül M.; Akkaya T.
    A matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Legendre series approximation. The method is based on first taking the truncated Legendre series expansions of the functions in equation and then substituting their matrix forms into the equation. Thereby the equation reduces to a matrix equation, which corresponds to a linear system of algebraic equations with unknown Legendre coefficients. In addition, some equations considered by other authors are solved in terms of Legendre polynomials and the results are compared. © Association for Scientific Research.
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    Hermite series solutions of linear fredholm integral equations
    (Association for Scientific Research, 2011) Yalçinbaş S.; Aynigül M.
    A matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Hermite series approximation. The method is based on first taking the truncated Hermite series expansions of the functions in equation and then substituting their matrix forms into the equation. Thereby the equation reduces to a matrix equation, which corresponds to a linear system of algebraic equations with unknown Hermite coefficients. In addition, some equations considered by other authors are solved in terms of Hermite polynomials and the results are compared. Copyright © Association for Scientific Research.
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    Bell polynomial approach for the solutions of Fredholm integro-differential equations with variable coefficients
    (Tech Science Press, 2020) Yıldız G.; Tınaztepe G.; Sezer M.
    In this article, we approximate the solution of high order linear Fredholm integro-differential equations with a variable coefficient under the initial-boundary conditions by Bell polynomials. Using collocation points and treating the solution as a linear combination of Bell polynomials, the problem is reduced to linear system of equations whose unknown variables are Bell coefficients. The solution to this algebraic system determines the approximate solution. Error estimation of approximate solution is done. Some examples are provided to illustrate the performance of the method. The numerical results are compared with the collocation method based on Legendre polynomials and the other two methods based on Taylor polynomials. It is observed that the method is better than Legendre collocation method and as accurate as the methods involving Taylor polynomials. © 2020 Tech Science Press. All rights reserved.
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    Life performance prediction of natural gas combined cycle power plant with intelligent algorithms
    (Elsevier Ltd, 2021) Karaçor M.; Uysal A.; Mamur H.; Şen G.; Nil M.; Bilgin M.Z.; Doğan H.; Şahin C.
    The efficient use of a system is enabled with the life performance estimations. Thus, the effective use of underground resources is realized especially natural gas. Based on this, life performance models were generated to aim of improving the efficient use of energy for a combined cycle power plant (CCPP) of 243 MW installed in Izmir, Turkey by using fuzzy logic (FL) and artificial neural network (ANN) in this study. Therefore, output power estimations were carried out. Depending on the developed models, an estimation of the energy that the CCPP can produce and provide to the interconnected system in the following years has been made. According to the obtained results, the error prediction rates of FL and ANN models were determined. It was found that while the energy relative error estimation value that can be produced between the years calculated in modeling using FL varies between 0.59% and 3.54%, this value was found to vary between 0.001% and 0.84% in modeling using ANN. This result shows that the ANN model is more suitable for the life performance estimations of such a non-linear system. © 2021 Elsevier Ltd