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Fatokun, J.O. and Akpan, I.P. (2013) L-Stable Implicit Trapezoidal-Like Integrators for the Solution of Parabolic Partial Differential Equations on Manifolds. African Journal of Mathematics and Computer Science Research, 6, 183-190.
http://www.academicjournals.org/ajmcsr

has been cited by the following article:

• TITLE: An Accurate Numerical Integrator for the Solution of Black Scholes Financial Model Equation

  AUTHORS: Iyakino P. Akpan, Johnson O. Fatokun

  KEYWORDS: Black Scholes Equation, Partial Differential Equations (PDEs), Method of Lines (MOL), L-Stable Trapezoidal-Like Integrator

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.3, September 2, 2015

  ABSTRACT: In this paper the Black Scholes differential equation is transformed into a parabolic heat equation by appropriate change in variables. The transformed equation is semi-discretized by the Method of Lines (MOL). The evolving system of ordinary differential equations (ODEs) is integrated numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10–10.