Aproksimasi Metode Dekomposisi Adomian pada Persamaan Diferensial Hiperbolik Linear

Authors

  • Wartono Wartono Fakultas Sains da Teknologi Universitas Islam Negeri (UIN) Sultan Syarif Kasim Riau
  • Yuslenita Muda Fakultas Sains da Teknologi Universitas Islam Negeri (UIN) Sultan Syarif Kasim Riau

DOI:

https://doi.org/10.24014/sitekin.v9i1.612

Keywords:

metode dekomposisi, persamaan diferensial hiperbolik, Adomian

Abstract

Pada kertas kerja ini, kami menyelidiki hampiran penyelesaian  semi analitik persamaan diferensial hiperbolik dengan menggunakan metode dekomposisi Adomian. Pendekatan penyelesaian eksplisit diperoleh dengan mengubah persamaan diferensial hiperbolik ke bentuk deret  u(x, t) =. Hasil perhitungan menunjukkan bahwa, metode dekomposisi Adomian  cukup efektif untuk menghampiri penyelesaian eksak.

 

References

Adomian, G., 1994, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic, Dordrecht.

Bellman, R & Adomian, G., 1985, Partial Differential Equations: New Methods for Their Treatment and Solution, D Reidel Publishing Company, Dordrecht.

Celik, et. al. 2006. Solution of Differential-Algebraic Equations (DAEs) by Adomian Decomposition Method, Int. Journal Pure and Applied Math. Sci. 3(1):93-100.

Kaya, D. 2002. The Use of Adomian Decomposition Method for Solving a Specific Nonlinear Partial Differential Equations, Bull. Belg. Math. Soc. 9 : 343-349.

Kaya, D & Mustafa., 1999. On the Solution of the Nonlinear Wave Eequation by the Decomposition Method, Bull. Of the Malaysian Math. Society, 22: 151-155.

Mustafa, 2005. Decomposition Methods for Solving Parabolic Equation in Finite Domains, Journal of Ahejiang Univ. Sci. 6A(10):1058-1064.

Nagle, R. K & Saff, E. B., 1993, Fundamentals of Differential Equations and Boundary Value Problems, Addison-Wesley Inc., New York.

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Published

2014-12-03

Issue

Vol. 9 No. 1 (2011): Desember 2011

Section

Articles

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