Integrablization of time fractional PDEs

C. N. Angstmann; B. I. Henry; B. A. Jacobs; A. V. McGann

doi:10.1016/j.camwa.2016.12.010

Integrablization of time fractional PDEs

C. N. Angstmann, B. I. Henry, B. A. Jacobs, A. V. McGann

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Here we present a numerical method for the solution of time fractional partial differential equations (fPDEs). The method is based on constructing a sequence of integrable approximations to the fPDE, such that in the appropriate limit the original fractional PDE is obtained. Convergence results are obtained in general and examples are given for simple cases such as the fractional heat equation and the fractional diffusion-wave equation.

Original language	English
Pages (from-to)	1053-1062
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	73
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2016.12.010
Publication status	Published - 15 Mar 2017
Externally published	Yes

Keywords

Fractional differential equations
Integrablization

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Access to Document

10.1016/j.camwa.2016.12.010

Cite this

@article{df70cb5fb06f46daad99d68d7c8d3615,

title = "Integrablization of time fractional PDEs",

abstract = "Here we present a numerical method for the solution of time fractional partial differential equations (fPDEs). The method is based on constructing a sequence of integrable approximations to the fPDE, such that in the appropriate limit the original fractional PDE is obtained. Convergence results are obtained in general and examples are given for simple cases such as the fractional heat equation and the fractional diffusion-wave equation.",

keywords = "Fractional differential equations, Integrablization",

author = "Angstmann, {C. N.} and Henry, {B. I.} and Jacobs, {B. A.} and McGann, {A. V.}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2017",

month = mar,

day = "15",

doi = "10.1016/j.camwa.2016.12.010",

language = "English",

volume = "73",

pages = "1053--1062",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd.",

number = "6",

}

TY - JOUR

T1 - Integrablization of time fractional PDEs

AU - Angstmann, C. N.

AU - Henry, B. I.

AU - Jacobs, B. A.

AU - McGann, A. V.

PY - 2017/3/15

Y1 - 2017/3/15

N2 - Here we present a numerical method for the solution of time fractional partial differential equations (fPDEs). The method is based on constructing a sequence of integrable approximations to the fPDE, such that in the appropriate limit the original fractional PDE is obtained. Convergence results are obtained in general and examples are given for simple cases such as the fractional heat equation and the fractional diffusion-wave equation.

AB - Here we present a numerical method for the solution of time fractional partial differential equations (fPDEs). The method is based on constructing a sequence of integrable approximations to the fPDE, such that in the appropriate limit the original fractional PDE is obtained. Convergence results are obtained in general and examples are given for simple cases such as the fractional heat equation and the fractional diffusion-wave equation.

KW - Fractional differential equations

KW - Integrablization

UR - http://www.scopus.com/inward/record.url?scp=85008506896&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2016.12.010

DO - 10.1016/j.camwa.2016.12.010

M3 - Article

AN - SCOPUS:85008506896

SN - 0898-1221

VL - 73

SP - 1053

EP - 1062

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

Integrablization of time fractional PDEs

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this