Authors: Reza Jalilian, Hamed Jalilian
A tenth-order non-polynomial spline method for the solutions of two-point boundary value problem u(4)(x) + f(x; u(x)) = 0; u(a) = 1; u00(a) = 2; u(b) = 3; u00(b) = 4; is constructed. Numerical method of tenth-order with end conditions of the order 10 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications of method, and to compare the computed results with other known methods.
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