TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM
Publish Year: 1393
Type: Journal paper
Language: English
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Document National Code:
JR_IJMAC-4-4_006
Index date: 18 January 2023
TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM abstract
By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving test examples. Experimental results demonstrate thatour method is more effective for the problems where the exact solution is trigonometric orhyperbolic.
TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM Keywords:
TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM authors
Omar El Khayyari
Faculty of Science and Technology University Hassan first, Settat Morocco Morocco
Abdellah Lamnii
Faculty of Science and Technology, University Hassan first, Settat Morocco
Jaoud Dabounou
Faculty of Science and Technology, University Hassan first, Settat Morocco