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A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS被引量：1: 《Journal of Computational Mathematics》2019年第4期556-578,共23页Ying Yang Benzhuo Lu Yan Xie; Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poi...; 关键词：Poisson-Nernst-Planck equations Two-grid finite element METHOD DECOUPLING METHOD Error analysis Gummel ITERATION

Validation method for simulation models with cross iteration: 《Journal of Systems Engineering and Electronics》2019年第3期555-563,共9页FANG Ke ZHAO Kaibin ZHOU Yuchen; supported by the National Natural Science Foundation of China(61374164); Cross iteration often exists in the computational process of the simulation models, especially for control models. There is a credibility defect tracing problem in the validation of models with cross iteration. In ord...; 关键词：VALIDATION METHOD simulation model CROSS ITERATION VALIDATION THEOREM VALIDATION EXAMPLE

Analysis of nano droplet dynamics with various sphericities using efficient computational techniques被引量：1: 《Journal of Central South University》2017年第10期2353-2359,共7页Ali Zolfagharian Milad Darzi S.E.Ghasemi; Motion of a vertically falling nano droplet in incompressible Newtonian media with initial velocity is investigated. The instantaneous velocity and acceleration are carried out by using the variational iteration metho...; 关键词：NANO DROPLET velocity acceleration HOMOTOPY perturbation METHOD VARIATIONAL ITERATION METHOD

Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems: 《Applied Mathematics》2017年第7期893-900,共8页Bothayna S. Kashkari Sharefah Saleh; In this paper, a Variational homotopy perturbation method is proposed to solve nonlinear Riccati differential equation. By combining the Variational Iteration Method and the Homotopy Perturbation Method, this techniqu...; 关键词：RICCATI Equation HOMOTOPY PERTURBATION METHOD VARIATIONAL ITERATION METHOD VARIATIONAL HOMOTOPY PERTURBATION METHOD

Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders: 《Open Journal of Applied Sciences》2017年第4期157-170,共14页Fatheah Alhendi Wafa Shammakh Hind Al-Badrani; In this article, variational iteration method (VIM) and homotopy perturbation method (HPM) solve the nonlinear initial value problems of first-order fractional quadratic integro-differential equations (FQIDEs). We use...; 关键词：Fractional QUADRATIC Integro-Differential Equations Variational ITERATION METHOD HOMOTOPY Perturbation METHOD

A Unification of the Concepts of the Variational Iteration, Adomian Decomposition and Picard Iteration Methods;and a Local Variational Iteration Method被引量：1: 《Computer Modeling in Engineering & Sciences》2016年第6期567-585,共19页Xuechuan Wang Satya N.Atluri; This paper compares the variational iteration method(VIM),the Adomian decomposition method(ADM)and the Picard iteration method(PIM)for solving a system of first o rder n onlinear o rdinary d ifferential e quations(ODE...; 关键词：VARIATIONAL ITERATION METHOD Adomian decomposition METHOD PICARD ITERATION METHOD ASYMPTOTIC technique nonlinear DYNAMICAL system

A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method被引量：1: 《American Journal of Computational Mathematics》2015年第2期195-203,共9页Maha S. M. Shehata; In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration ...; 关键词：Wave Variables Adomian Decomposition METHOD (ADM) Variational ITERATION METHOD (VIM) Nonlinear Partial Differential Equation PDES BBM and CAHN-HILLIARD Equations

Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method: 《Science China Mathematics》2014年第8期1733-1752,共20页JIA ZhongXiao LI Cen; supported by National Basic Research Program of China(Grant No.2011CB302400);National Natural Science Foundation of China(Grant No.11071140); We establish a general convergence theory of the Shift-Invert Residual Arnoldi(SIRA)method for computing a simple eigenvalue nearest to a given targetσand the associated eigenvector.In SIRA,a subspace expansion vecto...; 关键词：subspace expansion expansion vector inexact low or modest accuracy the SIRA method the JD method inner iteration outer iteration

Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators: 《Journal of Electromagnetic Analysis and Applications》2013年第10期388-392,共5页Taher A. Nofal Gamal M. Ismail Amal Ali M. Mady Sayed Abdel-Khalek; In this paper, we implement a new approach coupled with the iteration method. This procedure is obtained by combining He’s frequency-amplitude formulation and He’s energy balance method into a new iteration procedur...; 关键词：Periodic Solution Nonlinear Oscillators Energy BALANCE METHOD VARIATIONAL ITERATION METHOD

Iterative approximate solutions of kinetic equations for reversible enzyme reactions: 《Natural Science》2013年第6期740-755,共16页Sarbaz H. A. Khoshnaw; We study kinetic models of reversible enzyme reactions and compare two techniques for analytic approximate solutions of the model. Analytic approximate solutions of non-linear reaction equations for reversible enzyme ...; 关键词：Enzyme KINETICS HOMOTOPY Perturbation METHOD ITERATION METHOD MICHAELIS-MENTEN KINETICS Quasi-Steady State Approximation

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