Application of Laplace transforms to solve ODE using MATLAB

Authors

  • Purnima Rai Sadabai Raisoni Women's College, Nagpur

DOI:

https://doi.org/10.26713/jims.v7i2.284

Keywords:

Laplace transforms, Ordinary differential equation (ODE), MATLAB

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.

Downloads

Download data is not yet available.

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)

Downloads

Published

2015-11-30
CITATION

How to Cite

Rai, P. (2015). Application of Laplace transforms to solve ODE using MATLAB. Journal of Informatics and Mathematical Sciences, 7(2), 93–97. https://doi.org/10.26713/jims.v7i2.284

Issue

Vol. 7 No. 2 (2015)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.