Abstract
In this paper, a non-polynomial quadratic spline method is described for solving fourth-order boundary value problems whose highest-order derivative is multiplied by a small perturbation parameter. This method is applied directly to the solution of the problem without reducing the order of the problem. Convergence analysis of the fourth order method is discussed. To illustrate the efficiency of the method, a boundary value problem is considered with different type of boundary conditions and obtained numerical results are compared with the existing methods.
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