Adomian decomposition method for solving derivative-dependent doubly singular boundary value problems
This work provides a numerical method for solving a specific class of singular boundary value problems, which is an incremental contribution to applied mathematics.
The authors apply a modified Adomian decomposition method to solve nonlinear derivative-dependent doubly singular boundary value problems, obtaining approximate series solutions. Numerical results from three examples show the method's effectiveness, but no concrete performance numbers are provided.
In this work, we apply Adomian decomposition method for solving nonlinear derivative-dependent doubly singular boundary value problems: $(py')'= qf(x,y,y')$. This method is based on the modification of ADM and new two-fold integral operator. The approximate solution is obtained in the form of series with easily determinable components. The effectiveness of the proposed approach is examined by considering three examples and numerical results are compared with known results.