For the numerical solution of high order boundary value problems with special boundary conditions a general procedure to determine collocation methods is derived and studied. Computation of the integrals which appear in the coefficients is generated by a recurrence formula and no integrals are involved in the calculation. Several numerical examples are presented to demonstrate the practical usefulness of the proposed method.
"Numerical Solution of High Order Bernoulli Boundary Value Problems." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/276585