- Numerical computation of a nonlocal double obstacle problem
- International Journal of Open Problems in Computer Science and Mathematics
- Volume | Issue number
- 2 | 1
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
We consider a nonlocal double obstacle problem. This type of problems comes in various biological and physical situations, e.g., in phase transition models. We focus on numerical approximations and fast computation of such a model. We start with considering piece-wise basis functions for spatial approximation followed by implicit Euler's method for time integration and then Newton's method for solving resulting non linear system. Then we apply various linear system solver to get a time efficient technique to solve the model. We also attempt Fourier transform in space as well.
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