Searching the least value method for solving fourth-order nonlinear boundary value problems

This paper obtains a searching least value (SLV) method for a class of fourth-order nonlinear boundary value problems is investigated. The argument is based on the reproducing kernel space W5[0,1]W5[0,1]. The approximate solutions un(x)un(x) and un(k)(x) are uniformly convergent to the exact solution u(x)u(x) and u(k)(x)(k=1,2,3,4) respectively. Numerical results are verified that the method is quite accurate and efficient for this kind of problem.