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This is a Numerical Methods question. The original question is an exercise question 3.6 from Parviz…

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This is a Numerical Methods question. The original question is an exercise question 3.6 from Parviz…

This is a Numerical Methods question.

The original question is an exercise question 3.6 from Parviz Moin. Fundamentals of Engineering Numerical Analysis, Cambridge University Press; 2nd edition, 2010.

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6. A common problem of mathematical physics is that of solving the Fredhol integral equation f(x)-ф(x) +1 K(x,t)ф(t)dt, where the functions f (x) and K(x, t) are given and the problem is to obtain ф(x). (a) Describe a numerical method for solving this equation. (b) Solve the following equation דר o(x) x2+/ 3(0.5 sin 3x-ty?)o(t) dt. Compare to the exact solution φ(x) = sin 3x
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