(b) Given the second order boundary value problem y" +4y= sin x, y(0) = 0, (1) (ii) y(1)=0. By taking h0.25, approximate

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B Given The Second Order Boundary Value Problem Y 4y Sin X Y 0 0 1 Ii Y 1 0 By Taking H0 25 Approximate 1 (268 KiB) Viewed 23 times

(b) Given the second order boundary value problem y" +4y= sin x, y(0) = 0, (1) (ii) y(1)=0. By taking h0.25, 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) If the exact solution of the problem is y(x) = the absolute errors of your calculations. sin (1) 3 sin (2) 1 -sin 2x+-sin x, find 3 (2 marks)