The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions. (20th May 2014)

• Record Type: Journal Article
• Authors: Fu, Yanli; Yao, Huanmin
• Other Names: Ji Donghai Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-05-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/890695
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. Its approximate solutionu n ( x ) is represented in the reproducing kernel space. It is proved thatu n ( x ) converges uniformly to the exact solutionu ( x ) . Moreover, the derivatives ofu n ( x ) are also convergent to the derivatives ofu ( x ) . Numerical results show that the method employed in the paper is valid.