Linear BVP
The Bézier Solutions are Analytic in all examples
This is Bessel’s differential equations. The solutions are described through Bessel functions of the first kind.
Biharmonic Equation
Exact and Bézier Solution
Elasticity - 2D
A 2D beam is cantilevered at the right end with a load at its left end. The solution for the displacements are obtained by solving the coupled linear differential equations
Wave Equation
The two dimensional wave equation (three independent variables)
Exact and Bézier Solution t = 0
Exact and Bézier Solution