Solving Multi-Point Boundary Value Problems by Hermite Interpolation

The present paper offers a simple, efficient and accurate numerical method for solving multi-point non-linear boundary value problems, which are frequently encountered in a broad discipline of sciences. The proposed method is based on interpolation procedures and utilizes the capabilities of readily applicable functions. Illustrative examples are provided to demonstrate the efficiency and simplicity of the proposed method in solving this type of multipoint boundary value problems.