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1. Solve the diffusion equation on half-line and express the answer in terms of the error function: u₁ = kuxx, x≥0 u(0,t) = 1, u(x, 0): Jo, 0≤x≤1 == 1, x 1

1. Solve the diffusion equation on half-line and express the answer in terms of the error function: u₁ = kuxx, x≥0 u(0,t) = 1, u(x, 0): Jo, 0≤x≤1 == 1, x 1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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Could you please help me with this question? The last person who I sent this to gave me an answer that was very unclear and hard to understand. This is a question from partial differential equations.
1. Solve the diffusion equation on half-line and express the answer in terms of the error function: ut = kuxx, x≥0 u(0,t) = 1, u(x, 0) = = 0, [1, x > 1 Jo, 0 ≤ x ≤1
Transcribed Image Text:1. Solve the diffusion equation on half-line and express the answer in terms of the error function: ut = kuxx, x≥0 u(0,t) = 1, u(x, 0) = = 0, [1, x > 1 Jo, 0 ≤ x ≤1
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