A novel meshless scheme is proposed for inverse source identification problems
of Helmholtz-type equations. It is formulated by the non-singular general solutions
of the Helmholtz-type equations augmented with radial basis functions. Under
this meshless scheme, we can determine smooth source terms from partially accessible
boundary measurements with accurate results. Numerical examples are presented to
verify validity and accuracy of the present scheme. It is demonstrated that the present
scheme is simple, accurate, stable and computationally efficient for inverse smooth
source identification problems.