TY - JOUR
T1 - The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems
AU - Al-Mdallal, Qasem M.
AU - Syam, Muhammed I.
N1 - Funding Information:
The authors would like to express their appreciation for the valuable comments of the reviewers. The authors also would like to express their sincere appreciation to the United Arab Emirates University Research Affairs for the financial support of Grant No. 1643–02–01–10 .
PY - 2014/4/12
Y1 - 2014/4/12
N2 - In this paper, we implement a Chebyshev collocation method to approximate the eigenvalues of nonsingular sixth-order Sturm-Liouville problem. This method transforms the Sturm-Liouville problem to a sparse singular linear system which is solved by the path following technique. Numerical results demonstrate the accuracy and efficiency of the present algorithm.
AB - In this paper, we implement a Chebyshev collocation method to approximate the eigenvalues of nonsingular sixth-order Sturm-Liouville problem. This method transforms the Sturm-Liouville problem to a sparse singular linear system which is solved by the path following technique. Numerical results demonstrate the accuracy and efficiency of the present algorithm.
KW - A Chebyshev collocation method
KW - Eigenvalues
KW - Path following method
KW - Sixth-order Sturm-Liouville problem
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U2 - 10.1016/j.amc.2014.01.083
DO - 10.1016/j.amc.2014.01.083
M3 - Article
AN - SCOPUS:84893836027
SN - 0096-3003
VL - 232
SP - 391
EP - 398
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -