Keywords:-

Keywords: Integral transforms, Sumudu transform, Differential equation.

Article Content:-

Abstract

In this paper we have discussed Infinite Sumudu transform as well as Laplace transform was applied to solve linear ordinary differential equations with constant coefficients with convolution terms.

References:-

References

Asiru, M. A. 2002. Further properties of

the Sumudu transform and its applications.

Int. J. Math. Educ. Sci. Tech. 33(3): 441-

Belgacem, F. B. M., Karaballi, A. A. and

Kalla, L. S. 2007. Analytical Investigations

of the Sumudu Transform and Applications

to Integral Production Equations. Math.

Probl. Engr. 3: 103-118.

Eltayeb, H., Kilicman, A. and Fisher, B.

A new integral transform and

associated distributions. Int. Trans. Spec.

Func. 21(5): 367-379.

Guest, P. B. 1991. Laplace transform and

an introduction to distributions. New York:

Ellis Horwood.

Kadem, A. 2005. Solving the onedimensional

neutron transport equation

using Chebyshev polynomials and the

Sumudu transform, Analele Universitatii din

Oradea. Fascicola Matematica. 12:153-171.

Kilicman, A., Eltayeb, H. and Agarwal,

P. Ravi. 2010. On Sumudu Transform and

System of Differential Equations. Abstract

and Applied Analysis, Article ID 598702,

doi: 10.1155/2010/598702.

Kilicman, A. and Eltayeb, H. 2010. A

note on integral transforms and partial

differential equations. Applied Mathematical

Sciences. 4(3): 109-118.

Adem Kilicman, Hassan Eltayeb & Mat

Rofa Ismail 18 Malaysian Journal of

Mathematical Sciences

Kilicman, A. and Eltayeb, H. 2010. On

the applications of Laplace and Sumudu

transforms. Journal of the Franklin Institute,

vol. 347, no. 5, pp. 848–862.

Kilicman, A., Eltayeb, H. and Kamel

Ariffin Mohd. Atan. 2011. A Note on theComparison Between Laplace and Sumudu

Transforms. Bulletin of the Iranian

Mathematical Society. 37(1): 131-141.

Watugala, G. K. 1993. Sumudu

transform: a new integral transform to solve

differential equations and control

engineering problems. Int. J. Math. Educ.

Sci. Technol. 24(1): 35-43.

Watugala, G. K. 1998. Sumudu

transform a new integral transform to solve

differential equations and control

engineering problems. Mathematical

Engineering in Industry. 6(4): 319-329.

Watugala, G. K. 2002. The Sumudu

transform for functions of two variables.

Mathematical Engineering in Industry. 8(4):

-302.

Weerakoon, S. 1994. Applications of

Sumudu Transform to Partial Differential

Equations. Int. J. Math. Educ. Sci. Technol.

(2): 277-283.

Weerakoon, S. 1998. Complex inversion

formula for Sumudu transforms. Int. J.

Math. Educ. Sci. Technol. 29(4): 618-621.

Zhang, J. 2007. A Sumudu based

algorithm for solving differential equations.

Comput. Sci. J. Moldova. 15: 303-313.

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Poonia, S. (2014). Solution of differential equation using by Sumudu transform. International Journal Of Mathematics And Computer Research, 2(01), 316-323. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/101