A strategy for the analytical solving of ordinary differential equations and a first implementation of it based on mobile agent community, using jini javaspace framework, are presented. This architecture is defined to support computation in a reconfiguration context. It means evolving network (blackout of processor) or internal event management (exception during computation). All the incidents are taken into account with our computing space and in the worst case; a state of the current computation is saved for a post mortem analysis or a further replay.