ADI schemes for higher-order nonlinear diffusion equations
✍ Scribed by T.P. Witelski; M. Bowen
- Book ID
- 108415829
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 252 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0168-9274
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A spectral resolutioned exponential compact higher order scheme (SRECHOS) is developed to solve stationary convection-diffusion type of differential equations with constant convection and diffusion coefficients. The scheme is Oðh 6 Þ for one-dimensional problems and produces a tri-diagonal system of
## Abstract A higher‐order accurate numerical scheme is developed to solve the two‐dimensional advection–diffusion equation in a staggered‐grid system. The first‐order spatial derivatives are approximated by the fourth‐order accurate finite‐difference scheme, thus all truncation errors are kept to