Abstract:
In this paper, we have studied the extension of Laplace and Sumudu transforms to functions of two variables. Speci cally, we studied these two transforms with their main properties as well as their applications in solving ordinary and partial differential equations. We provide a proof to the relationship between these two operators, i.e. double Laplace and double Sumudu transforms. We apply double Sumudu transform to nd the solution of Heat and Wave Equations.
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