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Application of Sumudu transform to partial differential equations. (English) Zbl 0812.35004
Summary: The Sumudu transform of partial derivatives is derived, and its applicability demonstrated using three different partial differential equations.

MSC:
35A22 Transform methods (e.g., integral transforms) applied to PDEs
44A99 Integral transforms, operational calculus
35C05 Solutions to PDEs in closed form
35G05 Linear higher-order PDEs
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References:
[1] Watugala, G. K. A new integral transform to solve differential equations and control engineering problems.Proceedings of Control ’92 Conference Organized by the Institute of Engineers in Australia. · Zbl 0768.44003
[2] Watugala, G. K. Sumudu transform – a new integral transform to solve differential equations and control engineering problems.Proceedings of the Annual Sessions of Sri Lanka Association for the Advancement of Science. December1989. · Zbl 0768.44003
[3] DOI: 10.1080/0020739930240105 · Zbl 0768.44003 · doi:10.1080/0020739930240105
[4] Miles J. W., Integral Transforms in Applied Mathematics (1971) · Zbl 0226.44001
[5] Sneddon I. H., The Use of Integral Transforms (1972) · Zbl 0237.44001
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