Solving a class of singular fifth-order boundary value problems using reproducing kernel Hilbert space method. (English) Zbl 1470.65138
Summary: We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods.
MSC:
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 65L99 | Numerical methods for ordinary differential equations |
| 34B05 | Linear boundary value problems for ordinary differential equations |
References:
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