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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.15 No.4
- 발행연도
- 2011.12
- 수록면
- 291 - 306 (16page)
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초록· 키워드
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We consider the second order Strang splitting method to approximate the solution to the KdV equation. The model equation is split into three sets of initial value problems containing convection and dispersal terms separately. TVD MUSCL or MUSCL scheme is applied to approximate the convection term and the second order centered difference method to approximate the dispersal term. In time stepping, explicit third order Runge-Kutta method is used to the equation containing convection term and implicit Crank-Nicolson method to the equation containing dispersal term to reduce the CFL restriction. Several numerical examples of weakly and strongly dispersive problems, which produce solitons or dispersive shock waves, or may show instabilities of the solution, are presented.
목차
Abstract
1. INTRODUCTION
2. FINITE VOLUME METHOD
3. SPLITTING METHOD
4. NUMERICAL RESULTS
5. CONCLUDING REMARKS
REFERENCES
참고문헌 (11)
참고문헌 신청
1. [학술지(정기간행물)] - U. M. Ascher / 2005 / On symplectic and Multisymplectic schemes for the KdV equation / Journal of Scientific Computing 25 : 83 ~ 104
2. [학술지(정기간행물)] - K. Djidjeli / 1995 / Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations / Journal of Computational and Applied Mathematics 58 : 307 ~ 336
3. [학술지(정기간행물)] - S. Gottlieb / 1998 / Total variation diminishing Runge-Kutta schemes / Mathematics of Computation 67 (221) : 73 ~ 85
4. [학술지(정기간행물)] - M. A. Hoefer / 2006 / Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics / Physical Review A 74 : 023623-1 ~ 023623-24
5. [단행본] - C. Johnson / 1987 / Numerical solution of partial differential equations by the finite element method / Cambridge University Press
2. [학술지(정기간행물)] - K. Djidjeli / 1995 / Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations / Journal of Computational and Applied Mathematics 58 : 307 ~ 336
3. [학술지(정기간행물)] - S. Gottlieb / 1998 / Total variation diminishing Runge-Kutta schemes / Mathematics of Computation 67 (221) : 73 ~ 85
4. [학술지(정기간행물)] - M. A. Hoefer / 2006 / Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics / Physical Review A 74 : 023623-1 ~ 023623-24
5. [단행본] - C. Johnson / 1987 / Numerical solution of partial differential equations by the finite element method / Cambridge University Press
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UCI(KEPA) : I410-ECN-0101-2013-410-001374028