Approximate solutions of Fredholm integral equations of the second kind |
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| Authors: | A Chakrabarti |
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| Institution: | Department of Mathematics, Indian Institute of Science, Bangalore 560012, Karnataka, India |
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| Abstract: | This note is concerned with the problem of determining approximate solutions of Fredholm integral equations of the second kind. Approximating the solution of a given integral equation by means of a polynomial, an over-determined system of linear algebraic equations is obtained involving the unknown coefficients, which is finally solved by using the least-squares method. Several examples are examined in detail. |
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| Keywords: | Over-determined system Least-squares method Integral equation |
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