  The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed
in this paper for transient analysis of diffusion problems. RPIMC is an
efficient purely meshless method where the solution of the field variable is
obtained through collocation. The field function and its gradient are both
interpolated (mixed collocation approach) leading to reduced $C$-continuity
requirement compared to strong-form collocation schemes. The method's accuracy
is evaluated in heat conduction benchmark problems. The RPIMC convergence is
compared against the Meshless Local Petrov-Galerkin Mixed Collocation (MLPG-MC)
method and the Finite Element Method (FEM). Due to the delta Kronecker property
of RPIMC, improved accuracy can be achieved as compared to MLPG-MC. RPIMC is
proven to be a promising meshless alternative to FEM for transient diffusion
problems.
