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Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs

Autor
Ahmad, F.; Shafiq Ur, R.; Ullah, M.; Aljahdali, H.; Alshomrani, A.; Carrasco, J.; Ahmad , S.
Tipus d'activitat
Article en revista
Revista
Complexity
Data de publicació
2017-01-01
Volum
2017
DOI
https://doi.org/10.1155/2017/9407656 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/107350 Obrir en finestra nova
URL
https://www.hindawi.com/journals/complexity/2017/9407656/ Obrir en finestra nova
Resum
In this paper, we present and illustrate a frozen Jacobian multistep iterative method to solve systems of nonlinear equations associated with initial value problems (IVPs) and boundary value problems (BVPs). We have used Jacobi-Gauss-Lobatto collocation (J-GL-C) methods to discretize the IVPs and BVPs. Frozen Jacobian multistep iterative methods are computationally very efficient. They require only one inversion of the Jacobian in the form of LU-factorization. The LU factors can then be used rep...
Citació
Ahmad, F., Shafiq Ur, R., Ullah, M., Aljahdali, H., Alshomrani, A., Carrasco, J., Ahmad , S. Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs. "Complexity", 1 Gener 2017, vol. 2017.
Grup de recerca
GAA - Grup d'Astronomia i Astrofísica

Participants

  • Ahmad, Fayyaz  (autor)
  • Shafiq Ur, Rehman  (autor)
  • Ullah, Malik Zaka  (autor)
  • Aljahdali, Hani Moaiteq  (autor)
  • Alshomrani, Ali Saleh  (autor)
  • Carrasco Lopez, Juan Antonio  (autor)
  • Ahmad, Shamshad  (autor)

Arxius