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J. Math. Comput. Sci. 6 (2016), 682–691

Bounds for the blow-up time and blow–up rate estimates for nonlinear Black-Sholes equations with Dirichlet or Neumann boundary conditions

Olunkwa Chidinma

Abstract

The blow-up of the solution to Black-Sholes equations with weighted nonlinear source was studied. We obtained the lower bounds for blow-up time of the solution under different assumptions. Moreover, the corresponding blow-up rate estimates was also established.

Published
1 July 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Olunkwa Chidinma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

O. Chidinma, Bounds for the blow-up time and blow–up rate estimates for nonlinear Black-Sholes equations with Dirichlet or Neumann boundary conditions, J. Math. Comput. Sci. 6 (2016), 682–691.

BibTeX
@article{Chidinma2016,
  author  = {Chidinma, Olunkwa},
  title   = {Bounds for the blow-up time and blow–up rate estimates for nonlinear Black-Sholes equations with Dirichlet or Neumann boundary conditions},
  journal = {J. Math. Comput. Sci.},
  volume  = {6},
  year    = {2016},
  pages   = {682--691},
  doi     = {}
}