Civil Engineering > GATE 2023 SET-1 > Finite Difference Method
The differential equation,
$\frac{du}{dt} + 2tu^{2} = 1$,
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 $(u_{n} - u_{n-1})$ is _______ (round off to three decimal places).
$\frac{du}{dt} + 2tu^{2} = 1$,
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 $(u_{n} - u_{n-1})$ is _______ (round off to three decimal places).
Correct : 1
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