M. Vandaele et al., NUMERICAL-INTEGRATION BASED ON MIXED-TYPE INTERPOLATION FOR A 4TH-ORDER BOUNDARY-VALUE PROBLEM, Computers & mathematics with applications, 27(11), 1994, pp. 55-65
Modified finite difference methods based on mixed-type interpolation a
re derived and applied for fourth-order linear ordinary differential e
quations subject to a special kind of boundary conditions. In this pap
er, we present and analyse methods of orders 2, 4 and 6. Several numer
ical experiments axe performed to sustain our technique.