Journal of Applied Mathematics / 2012 / Article / Alg 2

Research Article

The Second-Order Born Approximation in Diffuse Optical Tomography

Algorithm 2

Numerical algorithm (discretized version).
(I) Compute the solution Ξ¦ ( 𝛾 0 ) 𝑖 πœ” , 𝑖 𝑠 𝑖 𝑛 and the Robin function 𝑅 ( 𝛾 0 ) 𝑖 πœ” 𝑖 𝑑 , 𝑖 𝑛 for 𝑖 πœ” = 1 , β‹― , 𝑁 πœ” , 𝑖 𝑠 = 1 , … , 𝑁 𝑠 , 𝑖 𝑛 = 1 , … , 𝑁 𝑛 as in (3.3b) and (3.3c), respectively.
(II) Find 𝛾 † by solving the equation (3.5).
(III) Find 𝛾 Ξ” by solving the equation (3.7).
(IV) Compute 𝛾 𝐡 by adding 𝛾 † and 𝛾 Ξ” .

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