# APPLICATIONS OF GENERALIZED SUMUDU TRANSFORM

• A.D.CHINDHE Department Mathematics Balbhim College,Beed,Maharashtra, India.

### Abstract

Objective: To solve Cauchy Problem for the Wave Equation in One Dimensional Space using the generalized Sumudu transform.

Materials and Methods: We use the new integral transform called the Sumudu transform for the extension to a generalized space and we use the

method for extension followed by Zemanian[29].

Results and Conclusion: In this paper, I have established the application of generalized Sumudu transform. To illustrate the applications of

generalized Sumudu transform, I have applied it to solve the cauchy problem for the wave equation in one dimensional space where the initial

conditions are generalized functions.

Keywords: Sumudu Transform, Generalized Sumudu Transform

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