The differential equation,\;{du}/{dt} + 2tu^{2} = 1,is solved by employing a backward difference scheme within the finite difference framework. The value of 𝑢 at the (𝑛 − 1) th time-step, for some 𝑛, is 1.75. The corresponding time (t) is 3.14 s. Each time step is 0.01 s long. Then, the value of (un - un -1) _________ is (round off to three decimal places).

Question

The differential equation,\;{du}/{dt} + 2tu^{2} = 1,is solved by employing a backward difference scheme within the finite difference framework. The value of 𝑢 at the (𝑛 − 1) th time-step, for some 𝑛, is 1.75. The corresponding time (t) is 3.14 s. Each time step is 0.01 s long. Then, the value of (un - un -1) _________ is (round off to three decimal places).

Examsnet · Accepted Answer

Correct Answer is : -0.183--0.181

GATE Civil Engineering (CE) 2023 Shift 1 Solved Paper