Irreversible linear pathways in enzymatic reactions: analytical solution using the homotopy perturbation method

An Approximate Analytical Solution Of Nonlinear Equations In N-Aminopiperidine Synthesis: New Approach Of Homotopy Perturbation Method)

“…In this method, first we can write u(t) in Taylor series expression. (6) where p ∈ [0,1] is an impeding parameter, t ∈ Ω and u0(t) is the initial approximation to the solution of (1) that satisfies the boundary conditions. The NAHPM uses the parameter p as a small parameter, and assumes that the solutions of ( 5) can be written as a power series in p: (8) where u0, u1, u2, … and v0, v1, v2,… are unknown functions to be determined.…”