A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments

This paper discusses an effective approach for solving non-local functional differential equations with delayed or advanced arguments. The reproducing kernel method is utilized to avoid the need for an orthogonalization process. The main objective of this technique is to successfully apply this method to solve singular multi-point boundary value problems with non-local conditions, resulting in an accurate approximate solution and a valid error analysis. This method greatly improves the accuracy of the solutions obtained.

Keywords:

Reproducing kernel method , Functional differential equation , Non-local conditions , Error analysis