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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 1; Page(s) 55 To 60.
 
Paper: 

Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel

 
 
Author(s):  RABBANI MOHSEN*, Tabatabai adnani Amir Ali, Tamizkar Mandana
 
* Department of Mathematics, Sari Azad University, Sari, Iran
 
Abstract: 
In this article, we use an effective coupled technique to solve singular integral equations with logarithmic kernel which it occurs in different branches of sciences such as mathematical physics, mechanics, isotropic elastic, etc. At first, we approximate the singular kernel by choosing suitable mesh points and multi-wavelet bases then, Galerkin method is used for solving integral equations. In addition, for simplification and to achieve to a more accuracy, we convert integral equation with logarithmic kernel to integro-differential equation with weakly singular kernel which is solvable with the proposed method. The numerical results show the high accuracy of the solution.
 
Keyword(s): Integral equation ,Integro-differential equation ,Singular kernel ,Wavelet bases ,Legendre polynomial ,Orthonormal
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

RABBANI, M., & Tabatabai adnani, A., & Tamizkar, M. (2018). Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel. MATHEMATICAL SCIENCES, 12(1), 55-60. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668524



Vancouver: Copy

RABBANI MOHSEN, Tabatabai adnani Amir Ali, Tamizkar Mandana. Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel. MATHEMATICAL SCIENCES. 2018 [cited 2021July28];12(1):55-60. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668524



IEEE: Copy

RABBANI, M., Tabatabai adnani, A., Tamizkar, M., 2018. Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel. MATHEMATICAL SCIENCES, [online] 12(1), pp.55-60. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668524.



 
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