Lidstone-based collocation splines for odd-order BVPs

A method is presented for the numerical solution of odd-order nonlinear boundary value problems with complementary Lidstone boundary conditions. The approximate solution is given in terms of spline interpolation functions, written in the Lidstone second type polynomial basis. Some results on local and global errors are given. Numerical tests are presented. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

The method presented provides a numerical solution for odd-order nonlinear boundary value problems with complementary Lidstone boundary conditions using spline interpolation functions in Lidstone second type polynomial basis. Results on local and global errors are given, with numerical tests presented for evaluation.