| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
We developed the theory of integrable discretization of nonlinear wave equations and self-adaptive moving mesh schemes. We constructed discrete analogues of coupled short pulse equation, coupled Yajima-Oikawa system, reduced Ostrovsky equation, modified short pulse equation, Degasperis-Procesi equation based on the theory of integrable systems. We also studied accuracy of numerical computations of our self-adaptive moving mesh scheme of the modified short pulse equation which has cusped soliton solutions. We also studied numerical schemes of a mathematical model of one-dimensional soil water infiltration using self-adaptive moving mesh schemes and we verified its numerical accuracy. We also investigated the relationship between self-adaptive moving mesh schemes and discrete differential geometry.
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