APPLICATIONS OF GENERALIZED SUMUDU TRANSFORM
Keywords:Sumudu Transform, Generalized Sumudu Transform
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.
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.
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