An Adomian decomposition method for systems of PDEs and the coupled nonlinear Schrödinger equations

Citation

(2005), "An Adomian decomposition method for systems of PDEs and the coupled nonlinear Schrödinger equations", Kybernetes, Vol. 34 No. 7/8. https://doi.org/10.1108/k.2005.06734gad.003

An Adomian decomposition method for systems of PDEs and the coupled nonlinear Schrödinger equations

M. Inc and M. ErgütDepartment of Mathematics, Firat University, Elazig, Turkey

Y. CherruaultLaboratoire MEDIMAT, Université Pierce et Marie Curie, Paris, France(2004)

In this work, we implement a relatively new numerical technique, Adomian's decomposition method for solving the linear and nonlinear systems of PDEs, and coupled nonlinear Schrodinger equations using computer in one of the popular PC-based mathematics package, namely MATLAB. The method in applied mathematics can be a reliable procedure to obtain for the analytic and numerical solutions. Numerical results for three test problems are presented, which clearly show the robustness and cost effectiveness of the proposed method.