Initial value methods for the primary two point boundary value problems in modeling viscoelastic flows

Abstract

Initial value solvers through shooting methods will be used to compute solutions to the primary two-point boundary value problem arising in modeling viscoelastic flow. We will show that the classical Runge-Kutta methods will have at least h ²-order of convergence due to the presence of the singularity. Comparison with the work of others will also be presented through some numerical results and examples.

Keywords:

• Boundary value problems
• Runge-Kutta
• viscoelastic flow

C.R. Category:

• G1.7