Numerical integration of space fractional partial differential equations. Vol 1, Introduction to algorithms and computer coding in R /

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 ; # 19.
Subjects:	Differential equations, Partial. Fractional differential equations. R (Computer program language) Spatial analysis (Statistics) boundary value (spatial) conditions fractional calculus initial value (temporal) conditions nonlinear SFPDEs numerical algorithms for SFPDEs space fractional partial differential equations (SFPDEs) Electronic books.
Online Access:	Connect to the full text of this electronic book (PDF)

Table of Contents:

1. Introduction to fractional partial differential equations
1.1 Introduction
1.2 Computer routines, example 1
1.2.1 Main program
1.2.2 Subordinate ODE/MOL routine
1.2.3 Model output
1.3 Computer routines, example 2
1.3.1 Main program
1.3.2 Subordinate ODE/MOL routine
1.3.3 Model output
1.3.4 Summary and conclusions
References
2. Variation in the order of the fractional derivatives
2.1 Introduction
2.2 Computer routines, example 1
2.2.1 Main program
2.2.2 Subordinate ODE/MOL routine
2.2.3 Model output
2.3 Computer routines, example 2
2.3.1 Main program
2.3.2 Subordinate ODE/MOL routine
2.3.3 Model output
2.4 Summary and discussion
3. Dirichlet, Neumann, Robin BCs
3.1 Introduction
3.2 Example 1, Dirichlet BCs
3.2.1 Main program
3.2.2 Subordinate ODE/MOL routine
3.2.3 Model output
3.3 Example 2, Dirichlet BCs
3.3.1 Main program
3.3.2 Subordinate ODE/MOL routine
3.3.3 Model output
3.4 Example 2, Neumann BCs
3.4.1 Main program
3.4.2 Subordinate ODE/MOL routine
3.4.3 Model output
3.5 Example 2, Robin BCs
3.5.1 Main program
3.5.2 Subordinate ODE/MOL routine
3.5.3 Model output
3.6 Summary and conclusions
4. Convection SFPDEs
4.1 Introduction
4.2 Integer/fractional convection model
4.2.1 Main program
4.2.2 Subordinate ODE/MOL routine
4.2.3 SFPDE output
4.3 Summary and conclusions
5. Nonlinear SFPDEs
5.1 Introduction
5.1.1 Example 1
5.1.2 Main program
5.1.3 Subordinate ODE/MOL routine
5.1.4 Model output
5.2 Example 2
5.2.1 Main program
5.2.2 Subordinate ODE/MOL routine
5.2.3 Model output
5.3 Summary and conclusions
A. Analytical Caputo differentiation of selected functions
B. Derivation of a SFPDE analytical solution
Introduction
SFPDE equations
Main program
ODE/MOL routine
Numerical output
Summary and conclusions
Authors' Biographies
Index.