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 W5T0; 1U. The approximate solutions un.x/ and u.k/ n .x/ are uniformly convergent to the exact solution u.x/ and u.k/.x/ .k D 1; 2; 3; 4/ respectively. Numerical results are verified that the method is quite accurate and efficient for this kind of problem.