Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by using the forward Euler method with a step size. t = 2. The absolute error in the solution at the end of the first time step is_________Correct answer is '8'. Can you explain this answer?

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Consider the equation

= 3t² + 1 with 0 at 0. This is numerically solved by using the forward Euler method with a step size. ∆t = 2. The absolute error in the solution at the end of the first time step is_________

Correct answer is '8'. Can you explain this answer?

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Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by...

Approximation value by Euler's Method:

= 3t² + 1 ; u (0) = 0 ; h = Δt = 2
u (2) = u (0) + hf (0, 0) , f (u, t) 3t² + 1
= 0 + 2 (0 + 1) = 2

Exact value:
du = (3t² + 1) dt (var iable separable)
⇒ u = t³ + t + c is sloution
u (0) = (0) ⇒ 0 = c
u = t³ + t
u (2) = 8 + 2 = 10
∴ absolute error

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Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by using the forward Euler method with a step size. ∆t = 2. The absolute error in the solution at the end of the first time step is_________Correct answer is '8'. Can you explain this answer?

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Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by using the forward Euler method with a step size. ∆t = 2. The absolute error in the solution at the end of the first time step is_________Correct answer is '8'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by using the forward Euler method with a step size. ∆t = 2. The absolute error in the solution at the end of the first time step is_________Correct answer is '8'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the equation= 3t2+ 1with 0 at 0.This is numerically solved by using the forward Euler method with a step size. ∆t = 2. The absolute error in the solution at the end of the first time step is_________Correct answer is '8'. Can you explain this answer?.

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