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Measurement in anisotropic heat conduction is difficult due to the presence of cross-derivative in the governing equation. There are many real world application involving anisotropic heat conduction, one of them being heat flow control or manipulation. In this work, numerical method to solve anisotropic heat conduction phenomena is proposed. The proposed method is also able to handle nonhomogeneous domain. It is based on meshless Least Square Moving Particle Semi-Implicit (LSMPS) spatial derivatives discretization. The developed solver is tested using several benchmark cases, before used to simulate several designs of thermal cloak and concentrator for heat flow manipulation. The results of the benchmark cases and heat flow manipulation simulations show good agreement with the past results from previous works. Therefore, the proposed method is deemed able to simulate anisotropic heat conduction in nonhomogeneous domain.