### Abstract

In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain Ω It is found an unique classical solution of this problem in an explicit form and shown that the solution of the artificial initial boundary value problem is equal to the solution of the infinite problem (Cauchy problem) in Ω.

Original language | English |
---|---|

Pages (from-to) | 141-149 |

Number of pages | 9 |

Journal | Siberian Electronic Mathematical Reports |

Volume | 10 |

Issue number | 1 |

Publication status | Published - Apr 23 2013 |

Externally published | Yes |

### Fingerprint

### Keywords

- A high-order parabolic equation
- An artificial initial boundary value problem
- Transparent boundary conditions

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Siberian Electronic Mathematical Reports*,

*10*(1), 141-149.

**On transparent boundary conditions for the high-order heat equation.** / Suragan, D.; Tokmagambetov, N.

Research output: Contribution to journal › Article

*Siberian Electronic Mathematical Reports*, vol. 10, no. 1, pp. 141-149.

}

TY - JOUR

T1 - On transparent boundary conditions for the high-order heat equation

AU - Suragan, D.

AU - Tokmagambetov, N.

PY - 2013/4/23

Y1 - 2013/4/23

N2 - In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain Ω It is found an unique classical solution of this problem in an explicit form and shown that the solution of the artificial initial boundary value problem is equal to the solution of the infinite problem (Cauchy problem) in Ω.

AB - In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain Ω It is found an unique classical solution of this problem in an explicit form and shown that the solution of the artificial initial boundary value problem is equal to the solution of the infinite problem (Cauchy problem) in Ω.

KW - A high-order parabolic equation

KW - An artificial initial boundary value problem

KW - Transparent boundary conditions

UR - http://www.scopus.com/inward/record.url?scp=84876343545&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876343545&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84876343545

VL - 10

SP - 141

EP - 149

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

IS - 1

ER -