International Journal of Management and Applied Science (IJMAS)
current issues
Volume-5,Issue-1  ( Jan, 2019 )
Past issues
  1. Volume-5,Issue-1  ( Jan, 2019 )
  2. Volume-4,Issue-12  ( Dec, 2018 )
  3. Volume-4,Issue-11  ( Nov, 2018 )
  4. Volume-4,Issue-10  ( Oct, 2018 )
  5. Volume-4,Issue-9  ( Sep, 2018 )
  6. Volume-4,Issue-8  ( Aug, 2018 )
  7. Volume-4,Issue-7  ( Jul, 2018 )
  8. Volume-4,Issue-6  ( Jun, 2018 )
  9. Volume-4,Issue-5  ( May, 2018 )
  10. Volume-4,Issue-4  ( Apr, 2018 )

Statistics report
Mar. 2019
Submitted Papers : 80
Accepted Papers : 10
Rejected Papers : 70
Acc. Perc : 12%
Issue Published : 59
Paper Published : 3874
No. of Authors : 7966
  Journal Paper




Paper Title :
Convergence Analysis of Backward Semi-Lagrangian Scheme with Bdf2 in Non-Linear Advection-Diffusion Problems

Author :Dojin Kim, Soyoonbak, Philsu Kim

Article Citation :Dojin Kim ,Soyoonbak ,Philsu Kim , (2017 ) " Convergence Analysis of Backward Semi-Lagrangian Scheme with Bdf2 in Non-Linear Advection-Diffusion Problems " , International Journal of Management and Applied Science (IJMAS) , pp. 60-64, Volume-3,Issue-3

Abstract : In this paper, we give a convergence analysis of a backward semi-Lagrangian scheme in a finite difference method for Burgers' equation. We apply an iteration free error correction method to solve characteristic curves of particles. We also adopt BDF2 and second order central difference method in time and space, respectively, for the time dependent diffusion equation along the characteristic curves.In the sense of the discrete ℓ􀬶-norm, we show that the proposed scheme has the convergencebehavior O(h􀬶 + Δx􀬶 + Δ􀭶􀱦􀰶􀰭 􀭦 , where h, Δx, and are the time, spatial grid size, and the order of interpolations, respectively.A numerical test is provided to support the validity of the theoretical estimates. Index Terms—Burgers' equation, Error Analysis, Semi-Lagrangian Scheme, Error Correction Method, non-linear advectiondiffusion equation

Type : Research paper


Copyright: © Institute of Research and Journals

| PDF |
Viewed - 33
| Published on 2017-06-08
   
   
IRAJ Other Journals
IJMAS updates
IJMAS -THANK YOU ALL FOR CONTRIBUTING YOUR PAPER TO IJMAS DECEMBER ISSUE.ALL AUTHORS ARE REQUESTED TO GET THEIR HARD COPY NOW.
The Conference World
Facebook

JOURNAL SUPPORTED BY