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Representation of solutions of the Burgers equation using functional integrals

✍ Scribed by S. E. Matskevich

Book ID
110210670
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
433 KB
Volume
16
Category
Article
ISSN
1061-9208

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Numerical solution of one-dimensional Burgers’ equation using reproducing kernel function
✍ Shu-Sen Xie; Sunyeong Heo; Seokchan Kim; Gyungsoo Woo; Sucheol Yi πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 900 KB

This paper presents a numerical method for one-dimensional Burgers'equation by the Hopf-Cole transformation and a reproducing kernel function, abbreviated as RKF. The numerical solution is given as explicit integral expressions with the RKF at each time step, so that the computation is fully paralle