SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND WITH SINGULAR KERNEL

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RABANI MOHSEN; MOUTAMENI MOHSEN

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Journal: Journal of Operational Research in its Applications Year:2009 | Volume:6 | Issue:22 Page(s): 1-8

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Information Journal Paper

Title

SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND WITH SINGULAR KERNEL

Author(s)

RABANI MOHSEN | MOUTAMENI MOHSEN | Issue Writer Certificate

Keywords

INTERGAL EQUATIONQ3

SINGULAR KERNELQ3

LEGENDER POLYNOMIALSQ3

OPERATIONAL MATRIXESQ3

Abstract

INTERGAL EQUATION with SINGULAR KERNEL is the fundamental and important in sciences. In this paper, we try to get SINGULAR KERNEL approximation by using suitable choose of the mesh points. In this way, for obtaining the solution of integral equation, we use orthonormal bases which they are constructed legendre polynomials. The computations are reduced because of orthonormality and OPERATIONAL MATRIXES are diagonal. Also the numerical example illustrate a high accuracy of approximation.

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APA: Copy

RABANI, MOHSEN, & MOUTAMENI, MOHSEN. (2009). SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND WITH SINGULAR KERNEL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 6(22), 1-8. SID. https://sid.ir/paper/164469/en

Vancouver: Copy

RABANI MOHSEN, MOUTAMENI MOHSEN. SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND WITH SINGULAR KERNEL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2009;6(22):1-8. Available from: https://sid.ir/paper/164469/en

IEEE: Copy

MOHSEN RABANI, and MOHSEN MOUTAMENI, “SOLUTION OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND WITH SINGULAR KERNEL,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 6, no. 22, pp. 1–8, 2009, [Online]. Available: https://sid.ir/paper/164469/en

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