APLIKASI METODE DEKOMPOSISI ADOMIAN UNTUK MENENTUKAN FORMULA TRANSFORMASI LAPLACE

Aji Wiratama, Yuni Yulida, Thresye Thresye

Abstract


In this paper we will discuss about Laplace transformation formation from solution of first order linear differential equation. One of the approaches to the solution of first-order linear differential equations can apply the Adomian decomposition method. The solution is written in an infinite series. Further, the solution uses the Adomian decomposition method and the exact solution obtained by the integration factor compared to the Laplace transform formula.

Keywords


first-order linear differential equations, Adomian decomposition method, Laplace transform

Full Text:

PDF

References


. Ayres, F. Jr. 1999. Persamaan Diferensial. Erlangga, Jakarta.

. Babolian, E. 2004. “A New Computational Method For Laplace Transform by Decomposition Method”. Applied Mathematics and Computation, vol. 150, pp 841-846.

. Renreng, Abdullah. 1990. Asas-asas Metode Matematika dalam Fisika. Angkasa Bandung. Bandung.

. Ross, S. L. 1984. Differential Equations. Third Edition. John Wiley & Sons. New York.

. Spiegel, Murray R. 1999. Seri Buku Schaum Teori dan Soal-soal Transformasi Laplace (Alih Bahasa Pantur Silaban dan Hans Wospakrik). Erlangga. Jakarta.

. Vahidi, A. R. 2006. “Modifying Adomian Decomposition Method for Linier Ordinary Differential Equations”. Journal of Applied Mathematics, vol. 3, no. 10, Autumn.




DOI: https://doi.org/10.20527/epsilon.v8i2.110

Refbacks

  • There are currently no refbacks.


Copyright (c) 2014 JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON

Indexed by:

          

 

EDITORIAL OFFICE 

           

 

 

 

Creative Commons License
JMMTE is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.