Solving the Heat and Wave Equations Using the Double Aboodh-Summed Transform

We combine the Aboodh transform and Sumudu transform to give another double transform which is called the double Aboodh-Sumudu trans-form. This interesting transform reduces a linear partial differential equation with unknown function of two independent variables to an algebraic equation, which can then be solved by the formal rules of algebra. Also the original differential equation can then be solved by applying the inverse double Aboodh-Sumudu transform.   Key words and phrases. Double Aboodh-Sumudu, Aboodh transform, Sumudu transform