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Question#5[5+5=10 marks] (a) A boundary value problem is defined by y ty+1=03 Where, y (0) = 0 and y (1) =1 (i) With h =
Question#5[5+5=10 marks] (a) A boundary value problem is defined by y" ty+1=03 Where, y (0) = 0 and y (1) =1 (i) With h = 0.5, use the finite difference method to determine the value of y (0.5) (ii) With h = 0.25, use the finite difference method to determine the value of y (0.5) (iii) Given the exact value of the equation as y (0.5) = 0.139493927, find the error in the above two cases. (b) Use Finite difference method to solve y" - y = 0 With y (0) = 0, y4 = 3.62686 and h = 0.5, complete the following table given that y = sinhx is the exact solution X y (Computed nhx Error value) (Exact value) 0.5 0.52110 1.0 1.17520 1.5 2.12928
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