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Mohammad Ghasemi

Mohammad Ghasemi

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 56092678300
Faculty: Faculty of Science
Address: University of Kurdistan, Factually of Sciences, Rom No 530
Phone: داخلی 4245

Research

Title
Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives
Type
JournalPaper
Keywords
Second-order boundary value problem; Polynomial cubic spline; Singularly perturbed
Year
2007
Journal APPLIED MATHEMATICS AND COMPUTATION
DOI
Researchers Jalil Rashidinia ، Reza Mohammadi ، Mohammad Ghasemi

Abstract

We develop a numerical technique for a class of singularly perturbed two-point singular boundary value problems on an uniform mesh using polynomial cubic spline. The scheme derived in this paper is second-order accurate. The resulting linear system of equations has been solved by using a tri-diagonal solver. Numerical results are provided to illustrate the proposed method and to compared with the methods in [R.K. Mohanty, Urvashi Arora, A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives, Appl. Math. Comput., 172 (2006) 531–544; M.K. Kadalbajoo, V.K. Aggarwal, Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems, Int. J. Comput. Math. 82 (2005) 67–76].