YUAN Yi-rang, LI Chang-feng, SUN Tong-jun. Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System[J]. Applied Mathematics and Mechanics, 2012, 33(2): 177-194. doi: 10.3879/j.issn.1000-0887.2012.02.004
 Citation: YUAN Yi-rang, LI Chang-feng, SUN Tong-jun. Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System[J]. Applied Mathematics and Mechanics, 2012, 33(2): 177-194.

# Modified Characteristic Finite Difference Fractional Steps Method for Moving Boundary Value Problem of Percolation Coupled System

##### doi: 10.3879/j.issn.1000-0887.2012.02.004
• Rev Recd Date: 2011-11-23
• Publish Date: 2012-02-15
• For coupled system with moving boundary values of multilayer dynamics of fluids in porous media,a kind of characteristic finite difference fractional steps scheme applicable to parallel arithmetic were put forward. Some techniques, such as the change of regions, calculus of variations, piecewise threefold quadratic interpolation, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, were adopted. Optimal order estimates in l2 norm are derived to determine the error in the approximate solution. This method has already been applied to the numerical simulation of migrationaccumulation of oil resources.
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