Constructive approximation of solution for fourth‐order nonlinear boundary value problems |
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| Authors: | Juan Du Minggen Cui |
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| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong 264209, People's Republic of China;2. Department of Mathematics, Harbin Normal University, Harbin, Heilongjiang 150025, People's Republic of China |
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| Abstract: | In this paper, we obtain a sequence of approximate solution converging uniformly to the exact solution of a class of fourth‐order nonlinear boundary value problems. Its exact solution is represented in the form of series in the reproducing kernel space. The n‐term approximation un(x) is proved to converge to the exact solution u(x). Moreover, the derivatives of un(x) are also convergent to the derivatives of u(x). Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | fourth‐order nonlinear boundary value problems reproducing kernel space constructive approximation exact solution |
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