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Searching the least value method for solving fourth-order nonlinear boundary value problems

Published: 01 January 2010 Publication History

Abstract

This paper obtains a searching least value (SLV) method for a class of fourth-order nonlinear boundary value problems is investigated. The argument is based on the reproducing kernel space W"5[0,1]. The approximate solutions u"n(x) and u"n^(^k^)(x) are uniformly convergent to the exact solution u(x) and u^(^k^)(x)(k=1,2,3,4) respectively. Numerical results are verified that the method is quite accurate and efficient for this kind of problem.

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  • (2018)Numerical solution of nonlinear singular boundary value problemsJournal of Computational and Applied Mathematics10.1016/j.cam.2017.09.040331:C(42-51)Online publication date: 15-Mar-2018
  1. Searching the least value method for solving fourth-order nonlinear boundary value problems

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    Published In

    cover image Computers & Mathematics with Applications
    Computers & Mathematics with Applications  Volume 59, Issue 2
    January, 2010
    446 pages

    Publisher

    Pergamon Press, Inc.

    United States

    Publication History

    Published: 01 January 2010

    Author Tags

    1. Nonlinear differential equations
    2. Reproducing kernel space
    3. SLV method

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    • (2018)Numerical solution of nonlinear singular boundary value problemsJournal of Computational and Applied Mathematics10.1016/j.cam.2017.09.040331:C(42-51)Online publication date: 15-Mar-2018

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