Generalized quasilinearization and first-order periodic boundary value problem

摘要

The method of quasilinearization was extended and generalized to include functions which are neither convex nor concave. This is known as generalized quasilinearization. The generalized method yields both-sided bounds as in the monotone method, but the rate of convergence is quadratic as in the quasilinearization method. In this paper, we extend the generalization method to a first order periodic boundary value problem.