PENYELESAIAN PERSAMAAN RICCATI DENGAN MENGGUNAKAN METODE DEKOMPOSISI ADOMIAN LAPLACE
Abstract
Makalah ini membahas tentang penyelesaian persamaan diferensial Riccati dengan menggunakan metode dekomposisi Adomian Laplace (LADM). Metode dekomposisi Adomian Laplace merupakan metode semi analitik untuk menyelesaikan persamaan diferensial nonlinier yang mengkombinasikan antara tranformasi Laplace dan metode dekomposisi Adomian. Berdasarkan hasil perhitungan, metode dekomposisi Adomian Laplace dapat menghampiri penyelesaian persamaan diferensial biasa nonlinear.
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Abbasbandy, S. “Homotopy pertuba-tion method for quadratic Riccati differential equation and comparison with Adomian’s decomposition method”. Applied Mathematics and Computation, 172, pp. 485 490. 2006.
Bahnasawi, A. A. El-Tawil, M. A and Abdel-Naby, A. “Solving Riccati differential equation using Adomian decomposition method. Applied Mathematics and Computation. 157. pp. 503 514. 2004.
Batiha, B., Noorani, M.S.M., and Hashim, I. “Application of Variational Iteration Method to a General Riccati Equation”. International Mathematical Forum. 2(56). pp. 2759 2770. 2007.
Biazar, J & Eslami, M. “Differential Transform Method for Quadratic Riccati Differential Equation”. International Journal of Nonlinear Science, 9(4), pp. 444 447. 2010
Kiymaz, O. “An Algorithm for Solving Initial value Problems Using Laplace Adomian Decomposition Method ”. Applied Mathematical Sciences. 3(30). pp. 1453 1459. 2009.
Polyanin, A. D. “Handbook of exact solution for ordinary differenatial equations. CRC, Florida. 2003.
Jafari, H & Tajadodi, H. He’s variational iteration methods for solving fractional Riccati differential equation. International Journal of Differential Equations. Pp. 1 – 8. 2010.
Reid, W. T. “Riccati differenatial equations (Mathematics sciences and engineering). Academis press, New York. 1972.
Syam, M. I and Hamdan, A. “An efficient method for solving Bratu equations”, Applied Mathematics and Computation. 176. pp. 704 713. 2006.
Yusufoglu, E. “Numerical solution of Duffing equation by the Laplace decomposition algorithm”, Applied Mathematics and Computation. 177. pp. 572 580. 2006.
DOI: http://dx.doi.org/10.24014/sitekin.v11i1.562
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