Solving Initial Value Problems by using the Method of Laplace Transforms

Miss. Kadam Priti Prakash

doi:https://doi.org/10.14445/22315373/IJMTT-V41P526

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 3 | Year 2017 | Article Id. IJMTT-V41P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P526

Solving Initial Value Problems by using the Method of Laplace Transforms

Miss. Kadam Priti Prakash

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.

Keywords

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

References

[1] A. M. Wazwaz, A First Course in Integral Equations, World Scientific, Singapore, 1997.
[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.

Citation :

Miss. Kadam Priti Prakash, "Solving Initial Value Problems by using the Method of Laplace Transforms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 3, pp. 275-278, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P526