A method, system, and article of manufacture for solving ordinary differential equations described in a graphical model with nodes as blocks and dependencies as links using the processing of a computer with a plurality of processors. The method includes: generating segments of block with or without duplication for each block with an internal state and for each block without any output by traversing the graphical model from each block with an internal state to each block without any output; merging the segment to reduce duplication; compiling and converting each segment from the merged results in an executable code; and individually allocating the executable code for each segment to a plurality of processors for parallel execution.