Browsing by Author "Deswita, Leli"
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Item DERET TAYLOR UNTUK METODE DEKOMPOSISI ADOMIAN(2014-03-25) Batubara, Lucy L.; Deswita, Leli; ZulkarnainThis article discusses the application of Taylor series to the Adomian decomposition method to determine the solution of Cauchy-Kovalevska equation. The obtained solution is of the form infinite series. Application of the Taylor series to several ex- amples of Cauchy-Kovalevska equations shows that this technique is more practical and provides better solutions than the solutions obtained by the Adomian decom-position methodItem Kontrol Optimum Lqr Pada Model Love And Happiness Yang Melibatkan Pihak Ketiga(2016-04-22) Mutamar, Khozin; Putra, Supriadi; Deswita, Leli; Muhammad, ImranThis article discusses about application of linear quadratic regulator in linear model of Love and Happiness with Affair. This paper focus on model with condition that make its unstable. Optimal control is used to control Romeo as treatment in order Romeo to release his affair. Simulation is given to illustrate design procedure and the result of treatment using LQRItem METODE ANALISIS HOMOTOPI UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL NONLINEAR DALAM BENTUK URYSOHN(2017-01-10) Azzumar; Deswita, LeliThis article discusses an application of the homotopy analysis method to solve a nonlinear Fredholm integral equation of a second kind in the form Urysohn. Then the method is applied to three examples. The results show that the convergence of the homotopy analysis method to the exact solutions is very fast.Item METODE TRANSFORMASI DIFERENSIAL UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL VOLTERRA JENIS KEDUA(2017-01-10) Putra, Edo Nugraha; Deswita, LeliThis article discusses the differential transform method based on a Taylor expansion of the kernel on the Volterra integral equation of the second kind. This method can only be applied to the Volterra integral equation of the second kind having kernel k(x−t). By comparing the approximated solution to the exact solution through an example, it concludes that the solution obtained using the differential transform method has fast convergence rate to the exact solution.Item MODIFIKASI METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN PERSAMAAN GELOMBANG NONLINEAR(2014-03-25) Sari, Widiya Fitrina; Deswita, Leli; Lily, EndangThis article discusses the modification of Adomian decomposition method to solve a nonlinear wave equation. Some numerical examples are used to show the effectiveness of the method. The numerical result show that the solution obtained through the modification of Adomian decomposition method is better than the solutions obtained using Adomian decomposition method.Item MODIFIKASI METODE DEKOMPOSISI ADOMIAN UNTUK MENYELESAIKAN MASALAH NILAI AWAL SINGULAR PADA PERSAMAAN DIFERENSIAL BIASA ORDE DUA(2013-06-25) Panjaitan, Kristiani; Syamsudhuha; Deswita, LeliThis paper discusses the modification of Adomian decomposition method for solving singular initial value problems in the second order ordinary differential equations. Numerical illustrations show that the method gives an accurate solution to the problem and for some casses this method yields exact solutions.