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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Yun xin Sun, Tong jun Yuan, Yi rang Li, Chang feng |
| Copyright Year | 2013 |
| Abstract | A fractional step scheme with modified characteristic finite differences running in a parallel arithmetic is presented to simulate a nonlinear percolation system of multilayer dynamics of fluids in a porous medium with moving boundary values. With the help of theoretical techniques including the change of regions, piecewise threefold quadratic interpolation, calculus of variations, multiplicative commutation rule of difference operators, multiplicative commutation rule of difference operators, decomposition of high order difference operators, induction hypothesis, and prior estimates, an optimal order in l 2 norm is displayed to complete the convergence analysis of the numerical algorithm. Some numerical results arising in the actual simulation of migration-accumulation of oil resources by this method are listed in the last section. |
| Ending Page | 436 |
| Page Count | 20 |
| Starting Page | 417 |
| File Format | |
| ISSN | 02534827 |
| e-ISSN | 15732754 |
| Journal | Applied Mathematics and Mechanics |
| Issue Number | 4 |
| Volume Number | 34 |
| Language | English |
| Publisher | Shanghai University |
| Publisher Date | 2013-03-11 |
| Publisher Place | Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | numerical simulation of energy source Mechanics multilayer nonlinear percolation system moving boundary values optimal order convergence analysis Applications of Mathematics Mathematical Modeling and Industrial Mathematics modified characteristic fractional finite difference Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Other numerical methods Flows in porous media; filtration; seepage Finite difference methods |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Mechanical Engineering |
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