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Incremental unknowns method based on the -scheme for time-dependent convection–diffusion equations

✍ Scribed by Lunji Song; Yujiang Wu


Book ID
108200418
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
545 KB
Volume
79
Category
Article
ISSN
0378-4754

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Extended one-step time-integration schem
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We first describe a one-parameter family of unconditionally stable third-order timeintegration schemes for the convection-diffusion equation: ut + cux = vuxx, based on the extended trapezoidal formulas of Usmani and Agarwal [1]. Interestingly, there exists a method that is .fourth order as well as u