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Special FDTD update equations are developed that modify the high-order M24 FDTD algorithm to seamlessly integrate it within Berenger's PML absorbing boundary layers. The formulation is based on the integral form analog of Maxwell's equations splitting for PML purposes. It is demonstrated experimentally that the proposed formulation is capable of closely matching the excellent performance of the PML ABCs when applied with the standard Yee algorithm. This achievement, coupled with the recent success in modeling PEC boundaries within high-order extended-stencil FDTD schemes without the need for subgridding paves the way for wider adoption of high-order FDTD schemes for modeling electrically large structures within the resource limits of today's desk-top PCs.