The second-order upwind finite difference fractional steps method for moving boundary value problem of nonlinear percolation coupled system

2012 ◽  
Vol 42 (8) ◽  
pp. 845-864 ◽  
Author(s):  
YiRang YUAN
Keyword(s):  
Finite Difference ◽  
Boundary Value Problem ◽  
Moving Boundary ◽  
Boundary Value ◽  
Coupled System ◽  
Second Order ◽  
Upwind Finite Difference

Characteristic finite difference method and application for moving boundary value problem of coupled system

2008 ◽  
Vol 29 (5) ◽  
pp. 611-624
Author(s):  
Yi-rang Yuan ◽  
Chang-feng Li ◽  
Cheng-shun Yang ◽  
Yu-ji Han
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Value Problem ◽  
Difference Method ◽  
Moving Boundary ◽  
Boundary Value ◽  
Coupled System

Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument

2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Muhad H. Abregov ◽  
Vladimir Z. Kanchukoev ◽  
Maryana A. Shardanova
Keyword(s):  
Differential Equation ◽  
Numerical Methods ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Argument ◽  
Second Order Differential Equation

AbstractThis work is devoted to the numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument in minor terms. The sufficient conditions of the one-valued solvability are established, and the a priori estimate of the solution is obtained. For the numerical solution, the problem studied is reduced to the equivalent boundary value problem for an ordinary linear differential equation of fourth order, for which the finite-difference scheme of second-order approximation was built. The convergence of this scheme to the exact solution is shown under certain conditions of the solvability of the initial problem. To solve the finite-difference problem, the method of five-point marching of schemes is used.

Modified characteristic finite difference fractional step method for moving boundary value problem of nonlinear percolation system

2013 ◽  
Vol 34 (4) ◽  
pp. 417-436 ◽  
Author(s):  
Yi-rang Yuan ◽  
Chang-feng Li ◽  
Tong-jun Sun ◽  
Yun-xin Liu
Keyword(s):  
Finite Difference ◽  
Boundary Value Problem ◽  
Moving Boundary ◽  
Boundary Value ◽  
Fractional Step ◽  
Step Method ◽  
Fractional Step Method
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