ADMP
swMATH ID:  36681 
Software Authors:  Gupta, Sumit; Kumar, Devendra; Singh, Jagdev 
Description:  ADMP: a Maple package for symbolic computation and error estimating to singular twopoint boundary value problems with initial conditions. A two step Adomian decomposition method (TSADM) coupled with pade approximations is applied for solving various twopoint 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. 
Homepage:  https://link.springer.com/article/10.1007%2Fs4001001805404 
Dependencies:  Maple 
Keywords:  Adomian decomposition method; two step Adomian decomposition method; Adomian polynomials; twopoint boundary value problem; ADMP 
Related Software:  Maple; ADMP 
Cited in:  4 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

ADMP: a Maple package for symbolic computation and error estimating to singular twopoint boundary value problems with initial conditions. Zbl 1451.65130 Gupta, Sumit; Kumar, Devendra; Singh, Jagdev 
2019

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top 5
Cited by 9 Authors
2  Singh, Jagdev 
1  AlDhaifallah, Mujahed 
1  Bhatter, Sanjay 
1  Ghanbari, Behzad 
1  Gupta, Sumit 
1  Kumar, Devendra 
1  Kumar, Mukesh 
1  Mathur, Amit 
1  Sooppy Nisar, Kottakkaran 
Cited in 4 Serials
1  Physica A 
1  Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 
1  Advances in Difference Equations 
1  International Journal of Applied and Computational Mathematics 
Cited in 5 Fields
2  Partial differential equations (35XX) 
2  Numerical analysis (65XX) 
1  Ordinary differential equations (34XX) 
1  Operator theory (47XX) 
1  Statistical mechanics, structure of matter (82XX) 