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Numerical integration of space fractional partial differential equations. Vol 2, Applications from classical integer PDEs /

Bibliographic Details
Main Authors: Salehi, Younes (Author), Schiesser, W. E. (Author)
Corporate Author: Morgan & Claypool Publishers
Format: eBook
Language:English
Published: [San Rafael, California] : Morgan & Claypool, 2018.
Series:Synthesis digital library of engineering and computer science.
Synthesis lectures on mathematics and statistics ; # 20.
Subjects:
Differential equations, Partial.
Fractional differential equations.
Spatial analysis (Statistics)
fractional calculus
partial differential equations
space fractional partial differential equations
value variables
Electronic books.
Online Access:Connect to the full text of this electronic book (PDF)
Table of Contents:
  • 6. Simultaneous SFPDEs
  • 6.1 Introduction
  • 6.2 Simultaneous SFPDEs
  • 6.2.1 Main program
  • 6.2.2 ODE/MOL routine
  • 6.2.3 SFPDEs output
  • 6.2.4 Variation of the parameters
  • 6.3 Summary and conclusions
  • 7. Two sided SFPDEs
  • 7.1 Introduction
  • 7.2 Two-sided convective SFPDE, Caputo derivatives
  • 7.2.1 Main program
  • 7.2.2 ODE/MOL routine
  • 7.2.3 SFPDE output
  • 7.3 Two-sided convective SFPDE, Riemann-Liouville derivatives
  • 7.3.1 Main program
  • 7.3.2 ODE/MOL routine
  • 7.3.3 SFPDE output
  • 7.4 Summary and conclusions
  • 8. Integer to fractional extensions
  • 8.1 Introduction
  • 8.2 Fractional diffusion equation
  • 8.2.1 Main program, Dirchlet BCs
  • 8.2.2 ODE/MOL routine
  • 8.2.3 Model output
  • 8.2.4 Main program, Neumann BCs
  • 8.2.5 ODE/MOL routine
  • 8.2.6 Model output
  • 8.2.7 Main program, Robin BCs
  • 8.2.8 ODE/MOL routine
  • 8.2.9 Model output
  • 8.3 Fractional Burgers equation
  • 8.3.1 Main program, Dirchlet BCs
  • 8.3.2 ODE/MOL routine
  • 8.3.3 Model output
  • 8.4 Fractional Fokker-Planck equation
  • 8.4.1 Main program
  • 8.4.2 ODE/MOL routine
  • 8.4.3 Model output
  • 8.5 Fractional Burgers-Huxley equation
  • 8.5.1 Main program
  • 8.5.2 ODE/MOL routine
  • 8.5.3 Model output
  • 8.6 Fractional Fitzhugh-Nagumo equation
  • 8.6.1 Main program
  • 8.6.2 ODE/MOL routine
  • 8.6.3 Model output
  • 8.7 Summary and conclusions
  • Authors' biographies
  • Index.