SURVEY OF B-SPLINE FUNCTIONS TO APPROXIMATE THE SOLUTION OF MATHEMATICAL PROBLEMS

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RASHIDINIA JALIL; SHARIFI SH.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2012 | Volume:6 | Issue:- Page(s): 1-8

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Title

SURVEY OF B-SPLINE FUNCTIONS TO APPROXIMATE THE SOLUTION OF MATHEMATICAL PROBLEMS

Author(s)

RASHIDINIA JALIL | SHARIFI SH. | Issue Writer Certificate

Keywords

SPLINE FUNCTIONS

DERIVATION OF FORMULA

ALTERNATIVE APPROACH

NUMERICAL ILLUSTRATION

Abstract

Purpose: In the present paper, we describe a survey of B-spline techniques which have been used for numerical solutions of mathematical problems recently.Methods: Here, we discussed the definition of B-splines of various degrees by two different approaches to generate the recurrence relation to drive the formulation of B-splines.Results: Cubic B-spline applied on two test equations and absolute errors in interpolation are compared with cubic and quintic splines. Some remarks have been included.Conclusions: Numerical results are tabulated in tables; these tables show that the results obtained by cubic B-spline are considerable and accurate with respect to the cubic spline and more or less similar to the quintic spline.

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APA: Copy

RASHIDINIA, JALIL, & SHARIFI, SH.. (2012). SURVEY OF B-SPLINE FUNCTIONS TO APPROXIMATE THE SOLUTION OF MATHEMATICAL PROBLEMS. MATHEMATICAL SCIENCES, 6(-), 1-8. SID. https://sid.ir/paper/322618/en

Vancouver: Copy

RASHIDINIA JALIL, SHARIFI SH.. SURVEY OF B-SPLINE FUNCTIONS TO APPROXIMATE THE SOLUTION OF MATHEMATICAL PROBLEMS. MATHEMATICAL SCIENCES[Internet]. 2012;6(-):1-8. Available from: https://sid.ir/paper/322618/en

IEEE: Copy

JALIL RASHIDINIA, and SH. SHARIFI, “SURVEY OF B-SPLINE FUNCTIONS TO APPROXIMATE THE SOLUTION OF MATHEMATICAL PROBLEMS,” MATHEMATICAL SCIENCES, vol. 6, no. -, pp. 1–8, 2012, [Online]. Available: https://sid.ir/paper/322618/en

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