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
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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 -