抄録
A numerical verification method to confirm the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation is presented. Using certain systems of equations corresponding to a double turning point, we derive a sufficient condition for its existence whose satisfaction can be verified computationally. We describe verification procedures and give a numerical example as a demonstration.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 177-185 |
| ページ数 | 9 |
| ジャーナル | Journal of Computational and Applied Mathematics |
| 巻 | 202 |
| 発行部数 | 2 |
| DOI | |
| 出版物ステータス | Published - 2007 5 15 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
これを引用
Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation. / Minamoto, Teruya; Nakao, Mitsuhiro T.
：: Journal of Computational and Applied Mathematics, 巻 202, 番号 2, 15.05.2007, p. 177-185.研究成果: Article
}
TY - JOUR
T1 - Numerical method for verifying the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation
AU - Minamoto, Teruya
AU - Nakao, Mitsuhiro T.
PY - 2007/5/15
Y1 - 2007/5/15
N2 - A numerical verification method to confirm the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation is presented. Using certain systems of equations corresponding to a double turning point, we derive a sufficient condition for its existence whose satisfaction can be verified computationally. We describe verification procedures and give a numerical example as a demonstration.
AB - A numerical verification method to confirm the existence and local uniqueness of a double turning point for a radially symmetric solution of the perturbed Gelfand equation is presented. Using certain systems of equations corresponding to a double turning point, we derive a sufficient condition for its existence whose satisfaction can be verified computationally. We describe verification procedures and give a numerical example as a demonstration.
KW - Double turning point
KW - Extended system
KW - Fixed point theorem
KW - Numerical computation with guaranteed accuracy
KW - Perturbed Gelfand equation
KW - Two-parameter dependent nonlinear problem
UR - http://www.scopus.com/inward/record.url?scp=33847064267&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33847064267&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2006.02.023
DO - 10.1016/j.cam.2006.02.023
M3 - Article
AN - SCOPUS:33847064267
VL - 202
SP - 177
EP - 185
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -