Solving Initial Value Problems by using the Method of Laplace Transforms

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-41 Number-3
Year of Publication : 2017
Authors : Miss. Kadam Priti Prakash
  10.14445/22315373/IJMTT-V41P526

MLA

Miss. Kadam Priti Prakash "Solving Initial Value Problems by using the Method of Laplace Transforms ", International Journal of Mathematics Trends and Technology (IJMTT). V41(3):275-278 January 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
This paper is an overview of the Laplace transform and its applications to Solve initial value problem. We will present a general overview of the Laplace transform of derivatives and examples to illustrate the utility of this method in solving initial value problem.

References
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[2 ]O. Kiymaz, “An algorithm for solving initial value problems using Laplace Adomian decomposition method.” 3 (2009), 453-1459.
[3] Vedat Suat Erturk, “Differential Transformation Method for Solving Differential Equations,” Mathematical and Computational Applications, V12, pp. 135-139, 2007.
[4] Erwin Kreyszig, Advanced Engineering Mathematics, Wiley, 1998.
[5] M. Alquran, K.A. Khaled, M. Ali and A. Ta‟any, “The Combined Laplace Transform- Differential Transformation Method for Solving Linear Non- Homogeneous PDEs”, Journal of Mathematical and Computational Science, 2, 3(2012) 690-701.

Keywords
Initial value problem, Laplace transform, inverse Laplace transform, initial conditions, boundary conditions etc.