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A note on integral transforms and partial differential equations. (English) Zbl 1194.35017
Summary: We apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and Poisson’s equations were solved by double Sumudu transform and the same result can be obtained by double Laplace transform.

MSC:
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35L05 Wave equation
44A35 Convolution as an integral transform
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