NOVELTY - Electrochemical method for simultaneously producing fatty acid alkyl esters from free fatty acids (FFA) via esterification and from triglycerides via transesterification comprises: providing a electrodeionization catalytic reactor (EDICR) stack having an anode, a cathode and chambers; introducing an ion conducting solution into electrolyte chambers; introducing a feedstock and a lower alcohol; establishing an electric potential between EDICR anode and cathode; promoting the reaction of triglycerides and FFA; and causing at least a portion of water to split into protons and hydroxyl anions.    USE - The method is useful for simultaneously producing fatty acid alkyl esters from free fatty acids via esterification and from triglycerides via transesterification (claimed). The method is useful for simultaneous production of biodiesel.    ADVANTAGE - The method allows for easy purification of glycerol and biodiesel.    DETAILED DESCRIPTION - Electrochemical method for simultaneously producing fatty acid alkyl esters from free fatty acids (FFA) via esterification and from triglycerides via transesterification comprises: providing a electrodeionization catalytic reactor (EDICR) stack having an anode, a cathode and chambers positioned between the anode and cathode, where at least a portion of the chambers is esterification chambers and at least a portion of the chambers being electrolyte chambers, and each esterification chamber is formed from a porous solid ion exchange resin wafer (IERW) or mixed-bed ion-exchanging matrix (MBIEM) interposed between a cation or bipolar exchange membrane, and an anion exchange membrane; introducing an ion conducting solution into the electrolyte chambers; introducing a feedstock and a lower alcohol in the esterification chambers, where the feedstock comprises FFA and triglycerides; establishing an electric potential between the EDICR anode and cathode thus creating a current across the stack that catalyzes the production a raw biodiesel mixture within the esterification chambers via simultaneous esterification and transesterification, where the formed raw biodiesel mixture comprises fatty acid alkyl esters and glycerol, the current across the stack; promoting the reaction of triglycerides present in the feedstock with the lower alcohol in the presence of IERW or MBIEM to produce alkyl esters and glycerol via transesterification; promoting the reaction of the FFA present in the feedstock with the lower alcohol in the presence of IERW or MBIEM to produce fatty acid alkyl esters and water via esterification; causing at least a portion of the water created by the esterification reaction to split into protons and hydroxyl anions via electrodeionization in the presence of IERW or MBIEM, where at least a portion of the formed hydroxyl anions catalyze the transesterification reaction between the lower alcohol and triglycerides to produce alkyl esters and glycerol, and at least a portion of the formed protons catalyze the esterification reaction between the FFA and the lower alcohol to produce fatty acid alkyl esters. An INDEPENDENT CLAIM is included for the EDICR stack for simultaneously producing fatty acid alkyl esters from FFA via esterification and from triglycerides via transesterification comprising an anode and a cathode and chambers positioned between the anode and cathode.    DESCRIPTION OF DRAWING(S) - The figure shows a diagrammatic representation of a electrodeionization catalytic reactor.