Various methods and systems are provided for an exhaust gas recirculation system. In one example, an exhaust gas recirculation cooler includes a first section, arranged proximate to an exhaust gas inlet of the EGR cooler and including a first plurality of tubes and a first plurality of fins coupled to the first plurality of tubes, where at least one of the first plurality of tubes and the first plurality of fins are comprised of a first material that has a first coefficient of thermal expansion (CTE); and a second section, arranged downstream of the first section and including a second plurality of tubes and a second plurality of fins coupled to the second plurality of tubes, where the second plurality of tubes and the second plurality of fins are comprised of a second material that has a second CTE, the second CTE greater than the first CTE.