ADMP
ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions. A two step Adomian decomposition method (TSADM) coupled with pade approximations is applied for solving various two-point boundary value problems with initial conditions. This technique is based on a new definition of the Adomian polynomials and the TSADM. A Maple package ADMP is used to implement the proposed algorithm. The algorithm does not require linearization, perturbation, predicting the initial terms or a set of basis function or other restrictive assumptions and approximates the analytical solution. The validity of the applied package is given by two examples.
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References in zbMATH (referenced in 3 articles , 1 standard article )
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Sorted by year (- Kumar, Mukesh; Umesh: Recent development of Adomian decomposition method for ordinary and partial differential equations (2022)
- Ghanbari, Behzad; Nisar, Kottakkaran Sooppy; Aldhaifallah, Mujahed: Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method (2020)
- Gupta, Sumit; Kumar, Devendra; Singh, Jagdev: ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions (2019)