| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Numerical experiments suggest interesting properties in the several fields. Among such properties, there are support splitting and merging phenomena in the behaviour of non-stationary seepage. The model equation in one dimensional space is written in the form of the initial-boundary value problem with the effect of a non-linear filtration.
In this study, such phenomena are realized by use of finite difference schemes, and are justified from numerical and analytical points of view. Thus we obtained following results: (1) Our difference scheme has the property of the stability and the convergence; (2) The solution of the initial-boundary value problem converges to the stationary solution when the boundary conditions are constant; (3) Repeated support splitting and merging phenomena appears when the period of the boundary conditions is sufficiently long; (4) We are able to show some example such that the support splitting phenomena never appears when the period is sufficiently short.
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