International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 1, Pages 151-167
doi:10.1155/S0161171280000099
Spline solutions for nonlinear two point boundary value problems
Riaz A. Usmani
Department of Applied Mathematics, The University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
Abstract
Necessary formulas are developed for obtaining cubic, quartic, quintic, and sextic spline solutions of nonlinear boundary value problems. These methods enable us to approximate the solution of the boundary value problems, as well as their successive derivatives smoothly. Numerical evidence is included to demonstrate the relative performance of these four techniques.