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An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
(De Gruyter Open, 2013)
We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV
transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical ...
A robust spectral method for pricing of American put options on zero-coupon bonds
(Global-Science Press, 2018)
American put options on a zero-coupon bond problem is reformulated as a
linear complementarity problem of the option value and approximated by a nonlinear
partial differential equation. The equation is solved by an ...
Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers
(KOREAN MATHEMATICAL SOC, 2014)
Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. ...
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
(Wiley, 2019)
The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ...