Traveling wave analysis of partial differential equations : numerical and analytical methods with Matlab and Maple /

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The d...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Griffiths, Graham W.
Otros Autores: Schiesser, W. E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Oxford : Academic, 2011.
Temas:
MATLAB.
Maple (Computer file)
MATLAB
Differential equations, Partial.
Numerical analysis > Computer programs.
�Equations aux d�eriv�ees partielles.
Differential equations, Partial
Numerical analysis > Computer programs
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Traveling wave, residual function methods for analytical solutions to PDEs
  • 2. Linear advection equation
  • 3. Linear diusion equation
  • 4. Linear convection diusion reaction equation
  • 5. Diusion equation with nonlinear source terms
  • 6. Burgers-Huxley equation
  • 7. Burgers-Fisher equation
  • 8. Fisher-Kolmogorov equation
  • 9. Fitzhugh-Nagumo equation
  • 10. Fisher-Kolmogorov-Petrovskii-Piskunov equation
  • 11. Kuramoto-Sivashinsky equation
  • 12. Kawahara equation
  • 13. Benjamin-Bona-Mahoney (RLW) equation
  • 14. Extended Bernoulli equation
  • 15. Hyperbolic Liouville equation
  • 16. Sine-Gordon equation
  • 17. Mth order Klein-Gordon equation
  • 18. Boussinesq equation
  • 19. Modied wave equation
  • 20. Appendix 1
  • Analytical solution methods for traveling wave problems.

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