TY - JOUR
ID - 5003
TI - Numerical solution of Troesch's problem using Christov rational functions
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Saadatmandi, Abbas
AU - Abdolahi-Niasar, Tahereh
AD - Department of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317-53153, Iran
Y1 - 2015
PY - 2015
VL - 3
IS - 4
SP - 247
EP - 257
KW - Troesch's problem
KW - Christov functions
KW - Collocation
KW - Wiener functions
DO -
N2 - We present a collocation method to obtain the approximate solution of Troesch's problem which arises in the confinement of a plasma column by radiation pressure and applied physics. By using the Christov rational functions and collocation points, this method transforms Troesch's problem into a system of nonlinear algebraic equations. The rate of convergence is shown to be exponential. The numerical results obtained by the present method compares favorably with those obtained by various methods earlier in the literature.
UR - https://cmde.tabrizu.ac.ir/article_5003.html
L1 - https://cmde.tabrizu.ac.ir/article_5003_aaa09fae46465928c72b2411e693a1d4.pdf
ER -