NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (11): 1059-1063.

NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

朱勇

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

收稿日期:1997-10-18 出版日期:1998-11-18 发布日期:1998-11-18
基金资助:
Project supported by National and Shanghai Educational Committee

NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

Zhu Yong

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received:1997-10-18 Online:1998-11-18 Published:1998-11-18
Supported by:
Project supported by National and Shanghai Educational Committee

摘要/Abstract

摘要： In this Paper. by using the pseudo-spectral method of Fornberg and Whitham, a nonlinear integrodifferential equations is investigated numerically. It is found that for small ε, the result is close to that of the KdV equation, whereas the effects of larger ε and the initial condition are significant.

关键词: integrodifferential equation, spectral method, solitary waves

Abstract: In this Paper. by using the pseudo-spectral method of Fornberg and Whitham, a nonlinear integrodifferential equations is investigated numerically. It is found that for small ε, the result is close to that of the KdV equation, whereas the effects of larger ε and the initial condition are significant.

Key words: integrodifferential equation, spectral method, solitary waves

朱勇. NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(11): 1059-1063.

Zhu Yong . NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(11): 1059-1063.

[1]	Zhonggui YI, Baozeng YUE, Mingle DENG. Chebyshev spectral variational integrator and applications[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 753-768.
[2]	Ying TAN, Weidong SU. A trigonometric series expansion method for the Orr-Sommerfeld equation[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 877-888.
[3]	Xinsheng GE, Qijia YAO, Liqun CHEN. Control strategy of optimal deployment for spacecraft solar array system with initial state uncertainty[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(10): 1437-1452.
[4]	Xinsheng GE, Zhonggui YI, Liqun CHEN. Optimal control of attitude for coupled-rigid-body spacecraft via Chebyshev-Gauss pseudospectral method[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(9): 1257-1272.
[5]	Benwen LI, Shangshang CHEN. Direct spectral domain decomposition method for 2D incompressible Navier-Stokes equations[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1073-1090.
[6]	Xu HUANG, Ye YAN, Yang ZHOU, Hua ZHANG. Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 609-618.
[7]	I. A. HASSANIEN;H. M. EL-HAWARY;M. A. A. MAHMOUD;R. G. ABDEL-RAHMAN;A. S. Thermal radiation effect on flow and heat transfer of unsteady MHD micropolar fluid over vertical heated nonisothermal stretching surface using group analysis[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(6): 703-720.
[8]	A. A. AFIFY N. S. ELGAZERY. Effect of double dispersion on non-Darcy mixed convective flow over vertical surface embedded in porous medium[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1247-1262.
[9]	M. A. A. MAHMOUD;S. E. WAHEED. Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 663-678.
[10]	N. ASHRAFI;H. KARIMI-HAGHIGHI. Improved nonlinear fluid model in rotating flow[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1419-1430.
[11]	李韶武王庶王健平米建春. Effect of turbulence intensity on airfoil flow: numerical simulations and experimental measurements[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(8): 1029-1038.
[12]	詹杰民李毓湘董志. Chebyshev finite spectral method with extended moving grids[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(3): 383-392.
[13]	葛铭纬许春晓崔桂香. Direct numerical simulation of flow in channel with time-dependent wall geometry[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(1): 97-108.
[14]	焦裕建郭本瑜. Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(5): 561-574.
[15]	苏海容;胡国辉;周哲玮. PSEUDOSPECTRAL ANALYSIS OF THE INTERFACIAL STABILITY OF FREE JETS WITH DIFFERENT VELOCITY PROFILES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(12): 1323-1332.

NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价