The solution of nonlinear coagulation problem with mass loss

The coagulation problem, which is an important process in many different scientific fields, is described as a nonlinear problem. Through this work, the nonlinear coagulation problem with linear continuous mass loss is solved using two different techniques, the Adomian’s decomposition method and the He’s variational-iteration method. The solution of the problem is carried-out for two different kernels and different initial conditions. The calculations are carried out for different values of the mass loss coefficient. He’s variational-iteration method is easier than the Adomian’s decomposition method and it is introduced to overcome the difficulty arising in calculating Adomian’s polynomials.