A HYBRID B-SPLINE COLLOCATION METHOD BASED ON BIVARIATE LOCAL POLYNOMIAL SPLINE INTEGRATION FOR 2-D VOLTERRA INTEGRAL EQUATIONS

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YAZDANI A.; Hadizadeh Yazdi M.

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Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

A HYBRID B-SPLINE COLLOCATION METHOD BASED ON BIVARIATE LOCAL POLYNOMIAL SPLINE INTEGRATION FOR 2-D VOLTERRA INTEGRAL EQUATIONS

Author(s)

YAZDANI A. | Hadizadeh Yazdi M. | Issue Writer Certificate

Keywords

VOLTERRA INTEGRAL EQUATION

B-SPLINE COLLOCATION METHOD

BIVARATE SPLINE FUNCTION

CUBATURES

Abstract

IN THIS PAPER, A HYBRID NUMERICAL METHOD BASED ON LOCAL POLYNOMIAL SPLINES IS GENERALIZED FOR APPROXIMATE SOLUTION OF TWO DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS. THE PROPOSED SCHEME IS A UNIVARIATE B-SPLINE COLLOCATION METHOD WITH A CUBATURE FORMULA FOR NUMERICAL EVALUATION OF INTEGRAL CONTAINING THE KERNEL BASED ON BIVARIATE SPLINE FUNCTIONS. COMPUTATIONAL FEATURES AND SOME NUMERICAL EXPERIMENTS ARE ALSO REPORTED.

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APA: Copy

YAZDANI, A., & Hadizadeh Yazdi, M.. (2016). A HYBRID B-SPLINE COLLOCATION METHOD BASED ON BIVARIATE LOCAL POLYNOMIAL SPLINE INTEGRATION FOR 2-D VOLTERRA INTEGRAL EQUATIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/947529/en

Vancouver: Copy

YAZDANI A., Hadizadeh Yazdi M.. A HYBRID B-SPLINE COLLOCATION METHOD BASED ON BIVARIATE LOCAL POLYNOMIAL SPLINE INTEGRATION FOR 2-D VOLTERRA INTEGRAL EQUATIONS. 2016. Available from: https://sid.ir/paper/947529/en

IEEE: Copy

A. YAZDANI, and M. Hadizadeh Yazdi, “A HYBRID B-SPLINE COLLOCATION METHOD BASED ON BIVARIATE LOCAL POLYNOMIAL SPLINE INTEGRATION FOR 2-D VOLTERRA INTEGRAL EQUATIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/947529/en

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