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Information Journal Paper

Title

B-spline Method for Solving Fredholm Integral Equations of the First Kind

Pages

  63-70

Abstract

 Ill-posed problems arise as inverse problems in many areas of science and engineering. The rst type Fredholm integral equation is a special kind of the inverse problem. A large number of inverse problems of mathematical physics have been translated into the rst type Fredholm integral equation to solve the problem of computing. Fredholm integral equation of the rst kind is one of the inverse problems that arise in many areas of science, physical models such as radiography, stereology, spectroscopy, cosmic radiation and engineering elds such as image processing and electromagnetic. In this paper, we use the Collocation method for to nd an approximate solution of the problem by Cubic B-spline basis. The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of proposed method.

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    • Cite

    APA: Copy

    MALEKNEJAD, KH., & ROSTAMI, Y.. (2019). B-spline Method for Solving Fredholm Integral Equations of the First Kind. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 11(1), 63-70. SID. https://sid.ir/paper/734895/en

    Vancouver: Copy

    MALEKNEJAD KH., ROSTAMI Y.. B-spline Method for Solving Fredholm Integral Equations of the First Kind. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2019;11(1):63-70. Available from: https://sid.ir/paper/734895/en

    IEEE: Copy

    KH. MALEKNEJAD, and Y. ROSTAMI, “B-spline Method for Solving Fredholm Integral Equations of the First Kind,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 11, no. 1, pp. 63–70, 2019, [Online]. Available: https://sid.ir/paper/734895/en

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