Application of Laplace transforms to solve ODE using MATLAB

Purnima Rai

Abstract


Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very simple approach just like the applications of transfer functions to solve ordinary differential equations. In this paper we present a new technological approach to solve Ordinary differential equation. The application of MATLAB to compute and visualize the Laplace transforms is also discussed.


Keywords


Laplace transforms, Ordinary differential equation (ODE), MATLAB

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References


Joel L. Schiff, The Laplace Transform: Theory and Applications, Springer Science and

business media, 1999.

GAO Feng, Applications of Matlab in Mathematical Analysis, Journal of Software, 6(7),

(2011),1225-1229.

M.P. Legua ,The Heaviside Function and Laplace Transforms, Proceedings of the 10th

WSEAS International Confenrence on applied mathematics, USA,( 2006), 445-450.

S.M. Khairnar, Bilateral Laplace-Mellin Integral Transform and its Applications,

International Journal of Pure and Applied Sciences and Technology, 1(2) (2010), 114-126.

Purnima Rai, Mathematical Modeling with technology, International Journal of Innovative

Research in Computer Science & Technology, 3(2), ( 2015),117-120.

Symbolic Math Toolbox User’s Guide (2006). The MathWorks, Inc. (www.mathworks.com).

Seifedine Kadry, Learning Basic Mathematics Using MATLAB, International Journal of

Information Technology & Computer Science, 14 ( 2), (2014), 48- 56.

Stephen wolfram, Computer software in science and mathematics, Scientific American,

(3), (1984),188-203.

Stanoyevitch, Alexander, “Introduction to Numerical Ordinary and Partial Differential

Equations Using MATLAB”, John Wiley & Sons, Hoboken, NJ(2005)




DOI: http://dx.doi.org/10.26713%2Fjims.v7i2.284

eISSN 0975-5748; pISSN 0974-875X