Alternative methods for solving nonlinear two-point boundary value problems

Abstract

In this sequel, the numerical solution of nonlinear two-point boundary value problems (NTBVPs) for ordinary differential equations (ODEs) is found by Bezier curve method (BCM) and orthonormal Bernstein polynomials (OBPs). OBPs will be constructed by Gram-Schmidt technique. Stated methods are more easier and applicable for linear and nonlinear problems. Some numerical examples are solved and they are stated the accurate findings.

Keywords

• nonlinear boundary value problems
• orthonormal bernstein
• 02.60.cb
• 02.60.lj