OI was able to find some admittedly limited information on 2013 Hyundai TSBs. I don’t know if any of them apply to your car, but here they are anyway. You may want to try the NHTSA website.
ENGINE (PWS)
Date Reported:
NOVEMBER 01, 2014
NHTSA Reference:
#10057053
TSB Reference:
#TSB-14-FL-006
Description: HYUNDAI: THE DIAGNOSTIC LOGIC IS REVISED FOR ENGINE CONTROL UNIT (ECM) AND OP CODE, THAT WAS UPDATED. MODEL 2011-13 ELANTRA. *PE
Want to learn how to fix NHTSA #10057053?
Date Reported:
OCTOBER 01, 2013
NHTSA Reference:
#10054172
TSB Reference:
#TSB-12-AT-022-1
Description: HYUNDAI: DUE TO AN IMPROPERLY ADJUSTED OR IMPROPERLY OPERATING INHIBITOR SWITCH (RANGE SWITCH), ON SOME VEHICLES, RESULTED IN RANGE SWITCH SENSOR CIRCUIT (P0705), OPEN CIRCUIT (P0707), SWITCH RANGE/PERFORMANCE (P0706), SHORT CIRCUIT OR MUL
Want to learn how to fix NHTSA #10054172?
Date Reported:
OCTOBER 01, 2013
NHTSA Reference:
#10054170
TSB Reference:
#TSB-13-FL-008
Description: HYUNDAI: AN UPDATE FOR ECM TO REVISE LOGIC DUE TO IDLE AIR CONTROL SYSTEM, RPM HIGHER THAN EXPECTED (P0507). MODEL 2013 ELANTRA GT. *PE
Want to learn how to fix NHTSA #10054170?
Date Reported:
AUGUST 01, 2013
NHTSA Reference:
#10053532
TSB Reference:
#TSB-13-FL-006
Description: HYUNDAI: THE FOLLOWING DTCS P2096 POST CATALYST FUEL TRIM SYSTEM TOO LEAN, P0301/2/3/4 CYLINDER 1/2/3/4 MISFIRE DETECTED, ON SOME VEHICLES, WILL BE REVISED THE LOGIC BY AN ECU UPDATE. MODELS 2011-2013 ELANTRA. *PE
Want to learn how to fix NHTSA #10053532?
Date Reported:
APRIL 01, 2013
NHTSA Reference:
#10052144
TSB Reference:
#TSB-13-FL-002
Description: HYUNDAI: THE THROTTLE CONTROL (ETC) BODY, ON SOME VEHIICLES, NEEDS TO BE CLEANED AND PROCEDURAL INFORMATION IS BEING PROVIDED, DUE TO DEPOSITS FOUND AT VALVE-TO-BORE INTERFACE. MODELS 2011-2013 ELANTRA, 2010-2013 GENESIS COUPE, 2010-2013
Want to learn how to fix NHTSA #10052144?
FUEL SYSTEM, GASOLINE:FUEL INJECTION SYSTEM
Date Reported:
APRIL 01, 2013
NHTSA Reference:
#10052144
TSB Reference:
#TSB-13-FL-002