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Searching the least value method for solving fourth-order nonlinear boundary value problems. (English) Zbl 1189.65149
Summary: 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 W 5 [0,1]. The approximate solutions u n (x) and u n (k) (x) are uniformly convergent to the exact solution u(x) and u n (k) (x), respectively. Numerical results verify that the method is quite accurate and efficient for this kind of problem.
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
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