The cellular pipelined algorithm architecture for 1D diffusion simulation using residue number system

This paper is oriented to the cellular pipelined algorithm architecture for the 1D diffusion simulation. The finite difference representation of 1D diffusion is written in terms of the residue number system. The cellular pipelined algorithm architectures for the main operations with a minimum period are developed. The parallel Substitution Algorithm is used for the algorithm design and modeling. The time complexity of the algorithm presented is obtained.