Piece-wise continuous solution to a class of nonlinear boundary value problems

Abstract

In this paper, a new technique for solving a class of nonlinear Boundary Value Problems (BVPs) is introduced. Convergence of the series solution obtained from the proposed technique is proved. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. Some numerical examples are introduced to verify the efficiency of the new technique.

Keywords

• Nonlinear boundary value problems
• Contraction mapping
• Series solution