Ramezan Esmaeili - Shahrood University of Technology Department Of Applied Mathematics Shahrood, Iran
Javad Vahidi - Iran University of Science and Technology Department Of Applied Mathematics Tehran, Iran

Linear and non-linear differential equations appear in many engineering problems. Although many of these problems can be solved using analytical and numerical methods ,b ut there is another problems that can be solved using analytical and numerical or Not resolved, or to solve complex. h ence thesemi-analytical methods can be a good alternative to solve this problems, i n this paper we try to second order non-linearequations to solve adomian d ecomposition method However,about this adomian d ecomposition method can be said that this method solution to obtain an infinite series usually that converges to the to the exact solution or an approximation of the exact solution, in the end we try the method proposed to Forma t Calculus quantum.

Semi-analytical; Adomian decomposition method;Quantum calculus