Nonlinear Analysis of Organic Polymer Solar Cells Using Differential Quadrature Technique with Distinct and Unique Shape Function  

作　　者：Ola Ragb Mokhtar Mohamed Mohamed S.Matbuly Omer Civalek 

机构地区：[1]Department of Engineering Mathematics and Physics,Faculty of Engineering,Zagazig University,Zagazig,44519,Egypt [2]Basic Science Department,Faculty of Engineering,Delta University for Science and Technology,Gamasa,11152,Egypt [3]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,404327,Taiwan,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第12期2193-2217,共25页工程与科学中的计算机建模（英文）

摘　　要：Four numerical schemes are introduced for the analysis of photocurrent transients in organic photovoltaic devices.Themathematicalmodel for organic polymer solar cells contains a nonlinear diffusion-reaction partial differential equation system with electrostatic convection attached to a kinetic ordinary differential equation.To solve the problem,Polynomial-based differential quadrature,Sinc,and Discrete singular convolution are combined with block marching techniques.These schemes are employed to reduce the problem to a nonlinear algebraic system.The iterative quadrature technique is used to solve the reduced problem.The obtained results agreed with the previous exact one and the finite element method.Further,the effects of different times,different mobilities,different densities,different geminate pair distances,different geminate recombination rate constants,different generation efficiencies,and supporting conditions on photocurrent have been analyzed.The novelty of this paper is that these schemes for photocurrent transients in organic polymer solar cells have never been presented before,so the results may be useful for improving the performance of solar cells.

关 键 词：Sinc differential quadrature block marching organic solar cells discrete singular convolution 

分 类 号：TM914.4[电气工程—电力电子与电力传动] TP3[自动化与计算机技术—计算机科学与技术]