Dissertation > Excellent graduate degree dissertation topics show

Stability analysis of Pantograph Equations

Author: LiHui
Tutor: LvWanJin
School: Heilongjiang University
Course: Applied Mathematics
Keywords: delay dierential equations numerical stability numerical solution in?nite lag higher-order derivative method the second derivative method
CLC: O241.8
Type: Master's thesis
Year: 2011
Downloads: 28
Quote: 2
Read: Download Dissertation


Dealing with numerical stability of higher-order derivative methods with vari-able stepsize is the purpose of the present paper for pantograph equations. It in-troduces an interesting result about the higher-order derivative and the polynomial.It also constructs the one-step second order derivative methods and the one-stephigher-order derivative forms with variable stepsize,and both of the numeric meth-ods are used for pantograph equation. This paper provides a new way to computethe pantograph equations, and shows su?cient conditions for the numeric stabilityof the second order derivative and the higher-order derivative forms with variablestepsize.

Related Dissertations

  1. Stability Analysis of Numerical Methods for Nonlinear Functional Differential and Functional Equations,O241.81
  2. The Study of Several Force Gradient Symplectic Algorithms,O241
  3. Stability Analysis of Numerical Methods for a Class of Nonlinear Neutral Delay Differential Equations,O241.82
  4. Emplicit-implicit Difference Numerical Method for PDE-based in Image Processing,TP391.41
  5. High Accuracy Difference Schemes for the Forced Vibration Wave Equation,O241.82
  6. Lattice Boltzmann Simulation of Fluid Flow and Heat Transfer Around a Cylinder and Tube Bundles,TK124
  7. Numerical Stability Analysis of TM Wave Transmission Based on FDTD Method,TN011
  8. Process Analysis and System Optimization of Simulated Moving Bed Chromatography,TQ028
  9. Asymmetric Difference Numerical Method for Image Processing Based on PDE,TP391.41
  10. Stability Analysis of Continuous Runge-Kutta Methods for Nonlinear Stiff Delay Differential Equations of Neutral Type,O175.8
  11. Comparison and Application of the Basic Lattice Boltzmann Models,O359
  12. Three-stage Semi-implicit Stochastic Runge-Kutta Methods for Stochastic Differential Equations,O241.8
  13. Some Applications of Runge-Kutta Methods,O241.8
  14. Power System State Estimation,TM73
  15. Numerical stability of delay differential equations,O241.8
  16. Numerical Methods of Nonlinear Schr(?)dinger Equation,O241.82
  17. Nonlinear Stability of One-leg Methods for Delay Differential Equations,O241.8
  18. The Characteristic Difference Method for Solving Convection-Diffu-sion Equations,O241.8
  19. Symplectic Geometric Algorithms for Highly-oscillatory Differential Equations,O241.81
  20. Numerical Realization of an Inverse Problem for 1-Dimensional Wave Equation,O241.6
  21. An Overview of the Numerical Methods for Delay Differential Equations,O241.8

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations
© 2012 www.DissertationTopic.Net  Mobile