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Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations [ODES] F'(n)=G(n) G'(n) = H(n) H'(n) = -1/2 F(n)H(n) Use Euler's method for solving the coupled ODEs along with an iterative approach called the 'shooting algorithm' for determining the correct value of H(0), so that F→1 as 100.

Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations [ODES] F'(n)=G(n) G'(n) = H(n) H'(n) = -1/2 F(n)H(n) Use Euler's method for solving the coupled ODEs along with an iterative approach called the 'shooting algorithm' for determining the correct value of H(0), so that F→1 as 100.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations [ODES] F'(n)=G(n) G'(n) = H(n) H'(n) = -1/2 F(n)H(n) Use Euler's method for solving the coupled ODEs along with an iterative approach called the 'shooting algorithm' for determining the correct value of H(0), so that F→1 as n→∞o.
Transcribed Image Text:Convert the Blasius equation into a set of coupled 1st Order Ordinary Differential Equations [ODES] F'(n)=G(n) G'(n) = H(n) H'(n) = -1/2 F(n)H(n) Use Euler's method for solving the coupled ODEs along with an iterative approach called the 'shooting algorithm' for determining the correct value of H(0), so that F→1 as n→∞o.
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