In this paper, we establish a distributed parameter coupled system concerning Arctic sea ice temperature field, in which the ice thickness is regarded as a movable inner boundary of the space domain. The existence and continuity of the weak solution to the coupled system are proved. According to the measured data, we establish a parameter identification model with the ice thickness as control v...

Salah satu cabang ilmu matematika adalah persamaan diferensial. Artikel ini meyelesaikan masalah nilai awal (persamaan diferensial biasa yang dilengkapi dengan suatu data fungsi) menggunakan metode dekomposisi Adomian. Tujuan penelitian untuk mengamati sifat penyelesaian Adomian apabila eksaknya memuat titik singular. mengambil kasus uji menunjukkan kinerja Metode diterapkan matematis secara ha...

in this work, we conduct a comparative study among the combine laplace transform and modied adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-differential equations of the second kind. the nonlinear part of integro-differential is approximated by adomian polynomials, and the equation is red...

The problem of prey and predator is solved by the differential transformation method (DTM). Numerical comparisons with Adomian decomposition method (ADM) and power series method are presented.

In this paper we consider the programming of job rotation in the Assembly Line Worker Assignment and Balancing Problem. The motivation for this study comes from the designing of assembly lines in sheltered work centers for the disabled, where workers have different task execution times. In this context, the well-known training aspects associated with job rotation are particularly desired. We pr...

in this paper, a boussinesq equation is solved by using the adomian's decomposition method, modified adomian's decomposition method and homotopy analysis method. the approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. the existence and uniqueness of the solution and the convergence of the propose...

‎‎in this article‎, ‎a new method is introduced to give approximate solution to van der pol equation‎. ‎the proposed method is based on the combination of two different methods‎, ‎the spectral adomian decomposition method (sadm) and piecewise method‎, ‎called the piecewise adomian decomposition method (psadm)‎. ‎the numerical results obtained from the proposed method show that this method is an...

In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...