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An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs

Autor
Ullah, M.; Serra, S.; Ahmad, F.
Tipus d'activitat
Article en revista
Revista
Applied mathematics and computation
Data de publicació
2015-01
Volum
250
Pàgina inicial
249
Pàgina final
259
DOI
https://doi.org/10.1016/j.amc.2014.10.103 Obrir en finestra nova
Projecte finançador
Últimos estadios de la evolución estelar en sistemas binarios: novas clásicas y recurrentes, supernovas, erupciones de rayos X ....
Resum
We developed multi-step iterative method for computing the numerical solution of nonlinear systems, associated with ordinary differential equations (ODEs) of the form L(x(t)) + f(x(t)) = g(t) : here L(.) is a linear differential operator and f(.) is a nonlinear smooth function. The proposed iterative scheme only requires one inversion of Jacobian which is computationally very efficient if either LU-decomposition or GMRES-type methods are employed. The higher-order Frechet derivatives of the nonl...
Paraules clau
Frechet derivative, Higher order, Multi-step, Nonlinear ordinary differential equations, Nonlinear systems, Solving systems
Grup de recerca
GAA - Grup d'Astronomia i Astrofísica

Participants

  • Ullah, Malik Zaka  (autor)
  • Serra Capizzano, Stefano  (autor)
  • Ahmad, Fayyaz  (autor)