Sukhanov’s Variable Initial Value Method for Boundary Value Problems

Abstract

In 1983, Sukhanov presented a new method for transforming a nonlinear two-point boundary value problem into an initial value problem (Reference 1). Sukhanov’s approach involves only the solution of ordinary differential equations and not partial differential equations as in other initial value methods for nonlinear two-point boundary value problems (References 2, 3, and 8). In this chapter, Sukhanov’s method is applied to second order and fourth-order nonlinear two-point boundary value problems.