Approximation schemes for propagation of fronts with nonlocal velocities and Neumann boundary conditions
✍ Scribed by Dejan Slepčev
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 319 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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## Abstract In this article, two sets of fourth‐order compact finite difference schemes are constructed for solving heat‐conducting problems of two or three dimensions, respectively. Both problems are with Neumann boundary conditions. These works are extensions of our earlier work (Zhao et al., Fou
A difference scheme is derived for a class of nonlocal parabolic equations with natural boundary conditions by the method of reduction of order. It is shown that the scheme is uniquely solvable and unconditionally convergent with the convergence rate of order O(h 2 + z 2). A numerical example with s