Browsing by Subject "The variational iteration method"

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    The steady temperature distributions with different types of nonlinearities
    (2009) Konuralp A.
    The nonlinear two-point boundary value problems are solved and the steady temperature distributions in a rod are found by considering different types of the nonlinear parts of the problems, particularly in the polynomial, exponential and trigonometric forms. In this paper, with the aid of some transformations the variational iteration method's scheme is reproduced for the nonlinear problems including two-point boundary value problems. The illustrative related problems are solved by means of the method scheme. © 2009 Elsevier Ltd. All rights reserved.
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    The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity
    (2010) Konuralp A.
    In this paper, two-point boundary value problems have been solved by the well-known variational iteration method. Considering the situation in which the nonlinear part is a polynomial function with degree of ≥ 2, the steady temperature distribution in a rod has been computed. The strongly nonlinear differential equation has been become a reduced differential equation by the aid of a proper transformation and variational iteration method has been applied to the boundary value problem. © 2009 Elsevier Ltd. All rights reserved.