TY - JOUR
ID - 6813
TI - A novel technique for a class of singular boundary value problems
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Noori Skandari, Mohammad Hadi
AU - Ghaznavi, Mehrdad
AD - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
AD - Faculty of Mathematical Sciences, Shahrood University of Sciences, Shahrood, Iran
Y1 - 2018
PY - 2018
VL - 6
IS - 1
SP - 40
EP - 52
KW - Singular boundary value problem
KW - Chebyshev polynomial
KW - Continuous time optimization problem
KW - Discrete optimization problem
DO -
N2 - In this paper, Lagrange interpolation in Chebyshev-Gauss-Lobatto nodes is used to develop a procedure for finding discrete and continuous approximate solutions of a singular boundary value problem. At first, a continuous time optimization problem related to the original singular boundary value problem is proposed. Then, using the Chebyshev- Gauss-Lobatto nodes, we convert the continuous time optimization problem to a discrete time optimization problem. By solving the discrete time optimization problem, we find discrete approximations for the solutions of the main singular boundary value problem. Also, by Lagrange interpolation we obtain a continuous approximation for the solution. The efficiency and the reliability of the proposed approach are tested by solving three practical singular boundary value problems.
UR - https://cmde.tabrizu.ac.ir/article_6813.html
L1 - https://cmde.tabrizu.ac.ir/article_6813_989cc111ad88bd05f7c74654f1bbdbe6.pdf
ER -