Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 928-936.

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Method for Solving a Class of Fourth Order Nonlinear Differential Equations with Integral Boundary Conditions by Combining Collocation Method and Reproducing Kernel Method

Liu Hongying, Lv Xueqin   

  1. School of Mathematics and Sciences, Harbin Normal University, Harbin 150025
  • Received:2015-12-05 Revised:2016-04-26 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the NSFC (11401145), the Educational Department Scientific Technology Program of Heilongjiang Province (12531180) and the Youth Foundation of Heilongjiang Province (JJ2016QN0211)

Abstract:

In this paper, we study to solve a class of fourth order nonlinear differential equations with integral boundary conditions by combining collocation method and reproducing kernel method and especially illustrates the uniform convergence of the solution obtained by this method. Some numerical examples are displayed to demonstrate the validity and applicability of the present method.

Key words: Collocation method, Integral boundary conditions, Fourth order nonlinear differential equations, Reproducing kernel space

CLC Number: 

  • O241.5
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