# Application of Sumudu transform to partial differential equations

##### Citations

299 citations

### Cites methods from "Application of Sumudu transform to ..."

...[13] S. Weerakoon, Application of Sumudu transform to partial differential equations, International Journal of Mathematical Education in Science and Technology 25 (1994), no. 2, 277–283....

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...Nevertheless, while it is well to rely on lists and tables of functions transforms, to find solutions to differential equations such as in the previous example, it is always a far superior position for practicing engineers and applied mathematicians to have available formula for the inverse transform (see Weerakoon [14])....

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...The Weerakoon [13] paper, showing Sumudu transform applications to partial differential equations, immediately followed Watugala’s [10] seminal work....

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...Once more, Watugala’s work was followed by Weerakoon [14] introducing a complex inversion formula for the Sumudu transform (see Theorem 3.1 in Section 3)....

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### Additional excerpts

...Ezaki Example II: Consider the Laplace equation: ( ) ( ) 0 , ,0 0 , ,0 cos , , 0 xx tt t u u u x u x x x t + = = = > (7)...

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109 citations

##### References

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