taylor collocation method for approximate solutions of q-difference equations

This manuscript suggests an efficient scheme to find an approach for a class of differential equations arsing in the quantum calculus. the present scheme considers the solution in the form of a truncated taylor series near zero with unknown coefficients. then, by placing this approach into the problem and collocating the relation which is obtained at some nodes, a system of algebraic equations is achieved. the solution of this algebraic system is the unknown coefficients of the series. the ability of present method is examined by some examples.