SOLVING FREDHOLM INTEGRAL EQUATIONS WITH BERNSTEIN MULTI-SCALING FUNCTIONS

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DAVAEI FAR S.; ORDOKHANI Y.

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Paper Information

Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2013 | Volume:13 | Issue:2 Page(s): 305-320

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Information Journal Paper

Title

SOLVING FREDHOLM INTEGRAL EQUATIONS WITH BERNSTEIN MULTI-SCALING FUNCTIONS

Author(s)

DAVAEI FAR S. | ORDOKHANI Y. | Issue Writer Certificate

Keywords

FREDHOLM INTEGRAL EQUATIONQ2

DUAL OPERATIONAL MATRIXQ2

BERNSTEIN POLYNOMIALQ2

BERNSTEIN MULTISCALING FUNCTIONSQ2

LINEARQ2

NONLINEARQ2

Abstract

In this article , efficient numerical methods for finding solution of LINEAR and NONLINEAR FREDHOLM INTEGRAL EQUATIONs of the second kind based on Bernstein multi scaling functions are presented . Initially, the properties of these functions, which are a combination of blockpulse functions on [0,1) , and BERNSTEIN POLYNOMIALs with the DUAL OPERATIONAL MATRIX are presented. Then these properties are used for the purpose of conversion of the mentioned integral equation to a matrix equation which is compatible to an algebraic equations system. The imperative of the Bernstein multi scaling functions for proper quantitative values of m and k, have a high accuracy and specifically the relative errors of the numerical solutions will be minimum. The presented methods from the computational viewpoint are very simple and attractive and the numerical examples at the end show the efficiency and accuracy of these methods.

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APA: Copy

DAVAEI FAR, S., & ORDOKHANI, Y.. (2013). SOLVING FREDHOLM INTEGRAL EQUATIONS WITH BERNSTEIN MULTI-SCALING FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 13(2), 305-320. SID. https://sid.ir/paper/43922/en

Vancouver: Copy

DAVAEI FAR S., ORDOKHANI Y.. SOLVING FREDHOLM INTEGRAL EQUATIONS WITH BERNSTEIN MULTI-SCALING FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2013;13(2):305-320. Available from: https://sid.ir/paper/43922/en

IEEE: Copy

S. DAVAEI FAR, and Y. ORDOKHANI, “SOLVING FREDHOLM INTEGRAL EQUATIONS WITH BERNSTEIN MULTI-SCALING FUNCTIONS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 13, no. 2, pp. 305–320, 2013, [Online]. Available: https://sid.ir/paper/43922/en

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