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Li, Xiao-Bo,Rahman, Md. Mahbubur,Ge, Chuang-Ye,Xu, Guang-Ri,Lee, Jae-Joon The Electrochemical Society 2017 Journal of the Electrochemical Society Vol.164 No.2
<P>A conducting polymeric film of trypan blue (TB) was deposited onto an anodized glassy carbon electrode (AGCE) surface by electropolymerization. The poly(trypan blue)-modified AGCE was used for the determination of dopamine (DA) in the presence of uric acid (UA) and ascorbic acid (AA). The PTB/AGCE exhibits good electrocatalytic behavior for the oxidation of DA in phosphate buffer solution (PBS, pH 7.0). The electrochemical oxidation signals of DA, UA, and AA are well-resolved into three distinct peaks in cyclic voltammograms (CVs) with the anodic peak potential separations (Delta E-pa) of ca. 186, 145, and 331 mV between AA-DA, DA-UA, and AA-UA, respectively. The Delta E-pa values are large enough to discriminate DA from the interference of AA and UA. A detection limit of ca. 0.36 mu M (S/N = 3) was obtained for the sensing of DA with a linear range of 1-40 mu M in PBS (pH 7.0). The sensor could successfully determine the concentrations of DA in human urine samples with the recoveries of ca. 97.6-102.6%. This approach provides a simple, easy, sensitive, and selective method for the detection of DA in the presence of AA and UA. (C) 2016 The Electrochemical Society. All rights reserved.</P>
CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION
Ge-Xing Xu,Chun-Hua Li,GUANG-RI PIAO 영남수학회 2017 East Asian mathematical journal Vol.33 No.1
Numerical solutions of the Rosenau-Burgers equation based on the cubic B-spline finite element method are introduced. The back- ward Euler method is used for discretization in time, and the obtained nonlinear algebraic system is changed to a linear system by the Newton’s method. We show that those methods are unconditionally stable. Two test problems are studied to demonstrate the accuracy of the proposed method. The computational results indicate that numerical solutions are in good agreement with exact solutions.
CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION
Xu, Ge-Xing,Li, Chun-Hua,Piao, Guang-Ri The Youngnam Mathematical Society 2017 East Asian mathematical journal Vol.33 No.1
Numerical solutions of the Rosenau-Burgers equation based on the cubic B-spline finite element method are introduced. The backward Euler method is used for discretization in time, and the obtained nonlinear algebraic system is changed to a linear system by the Newton's method. We show that those methods are unconditionally stable. Two test problems are studied to demonstrate the accuracy of the proposed method. The computational results indicate that numerical solutions are in good agreement with exact solutions.