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Mohammad Ghasemi

Mohammad Ghasemi

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

Research

Title
Numerical solution of the nonlinear Klein–Gordon equation
Type
JournalPaper
Keywords
Nonlinear Klein–Gordon equation; Cubic B-spline method; Collocation; Convergence analysis
Year
2010
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Jalil Rashidinia ، Mohammad Ghasemi ، Reza Jalilian

Abstract

A numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon equation by using the cubic B-spline collocation method on the uniform mesh points. We solve the problem for both Dirichlet and Neumann boundary conditions. The convergence and stability of the method are proved. The method is applied on some test examples, and the numerical results have been compared with the exact solutions. The L2, L∞ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.