A new method for solving singular fourth-order boundary value problems with mixed boundary conditions |
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Authors: | Yulan Wang Xuejun CaoXiaona Li |
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Affiliation: | Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, PR China |
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Abstract: | In [1], [2], [3], [4], [5], [6], [7] and [8], it is very difficult to get reproducing kernel space of problem (1). This paper is concerned with a new algorithm for giving the analytical and approximate solutions of a class of fourth-order in the new reproducing kernel space. The numerical results are compared with both the exact solution and its n-order derived functions in the example. It is demonstrated that the new method is quite accurate and efficient for fourth-order problems. |
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Keywords: | Analytical solution Mixed boundary value problems Reproducing kernel Hilbert space Singular-coefficient |
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