(b) Given the second order boundary value problem y" + 4y = sinx, y(0) = 0, (i) By taking h=0.25, approximate y(0.25), y

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B Given The Second Order Boundary Value Problem Y 4y Sinx Y 0 0 I By Taking H 0 25 Approximate Y 0 25 Y 1 (57.52 KiB) Viewed 28 times

(b) Given the second order boundary value problem y" + 4y = sinx, y(0) = 0, (i) By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite difference method. Please give your answer in three decimal places. (10 marks) (ii) y(1) = 0. If the exact solution of the problem is y(x)=- the absolute errors of your calculations. sin (1) 3 sin (2) 1 -sin 2x +-sinx, find 3 (2 marks)