Journal of Applied Mathematics

Research Article

The Second-Order Born Approximation in Diffuse Optical Tomography

Algorithm 2

Numerical algorithm (discretized version).
(I) Compute the solution Φ ( 𝛾 0 ) 𝑖 𝜔 , 𝑖 𝑠 𝑖 𝑛 and the Robin function 𝑅 ( 𝛾 0 ) 𝑖 𝜔 𝑖 𝑑 , 𝑖 𝑛 for 𝑖 𝜔 = 1 , ⋯ , 𝑁 𝜔 , 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 Δ by solving the equation (3.7).
(IV) Compute 𝛾 𝐵 by adding 𝛾 † and 𝛾 Δ .