Collocation for High-Order Differential Equations with Lidstone Boundary Conditions

الملخص EN

A class of methods for the numerical solution of high-order differential equations with Lidstone and complementary Lidstone boundary conditions are presented.

It is a collocation method which provides globally continuous differentiable solutions.

Computation of the integrals which appear in the coefficients is generated by a recurrence formula.

Numerical experiments support theoretical results.