Reproducing kernel method for Abel's second kind singular integral equations

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Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
Singular integral equations (SIEs) are often encountered in certain contact and fracture problems in solid mechanics. In this paper, we apply the reproducing kernel method (RKM) to give the approximate solution of Abel's second-kind singular integral equations. For solving this problem, difficulties lie in its singular term. In order to remove the singular term of the equation, an equivalent transformation is made. Solution representations are obtained in reproducing kernel Hilbert space. Numerical experiments show that our reproducing kernel method is efficient. To show the high accuracy of the method the results are compared to other numerical methods and satisfactory agreements are achieved.
Language:
English
Published:
Journal of Computational Mathematics and Computer Modeling with Applications, Volume:1 Issue: 2, Summer and Autumn 2022
Pages:
27 to 34
https://www.magiran.com/p2601150  
سامانه نویسندگان
  • Abbasbandy، Saeid
    Corresponding Author (2)
    Abbasbandy, Saeid
    Professor Applied Mathematics, Imam Khomeini International University, Qazvin, Iran
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