NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4

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EL KHAYYARI O.; LAMNII A.

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Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2014 | Volume:4 | Issue:1 Page(s): 25-36

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Title

NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4

Author(s)

EL KHAYYARI O. | LAMNII A. | Issue Writer Certificate

Keywords

BOUNDARY VALUE PROBLEM

INTERPOLATION

HYPERBOLIC UNIFORM SPLINE

Abstract

In this paper, using the HYPERBOLIC UNIFORM SPLINE of order 4 we develop the classes of methods for the numerical solution of second order BOUNDARY VALUE PROBLEMs (2VBP) with Dirichlet, Neumann and Cauchy types boundary conditions. The second derivativeis approximated by the three-point central difference scheme. The approximate results, obtained by the proposed method, confirm the convergence of numerical solutions. Numerical results are given to illustrate the efficiency of our methods.

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APA: Copy

EL KHAYYARI, O., & LAMNII, A.. (2014). NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 4(1), 25-36. SID. https://sid.ir/paper/328272/en

Vancouver: Copy

EL KHAYYARI O., LAMNII A.. NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2014;4(1):25-36. Available from: https://sid.ir/paper/328272/en

IEEE: Copy

O. EL KHAYYARI, and A. LAMNII, “NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 4, no. 1, pp. 25–36, 2014, [Online]. Available: https://sid.ir/paper/328272/en

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