There is no difference, heavy whipping cream is also known as heavy cream. Heavy whipping cream has a milkfat content between 36 – 40 percent. Heavy whipping cream is the richest cream readily available. Heavy cream or heavy whipping cream is the best for making whipped cream, it makes stiff peaks that hold their shape. It is also used for thickening sauces and making desserts. Heavy cream/heavy whipping cream can easily be confused with whipping cream and/or light whipping cream, which has 30 - 36 percent milk fat. Light whipping cream is used in sauces and soups and as a garnish for desserts. It can make whipped cream, but heavy cream works best.
