A new method for solving singular fourth-order boundary value problems with mixed boundary conditions

作者：Wang, Yulan^*; Cao, Xuejun; Li, Xiaona

来源：Applied Mathematics and Computation, 2011, 217(18): 7385-7390.

DOI：10.1016/j.amc.2011.02.002

• Analytical solution
• Mixed boundary value problems
• Reproducing kernel Hilbert space
• Singular-coefficient

In [1-8], 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.

• 出版日期2011-5-15
• 单位内蒙古工业大学