
doi: 10.1155/2012/796814
We apply an exponential time integration scheme combined with a central difference scheme on a piecewise uniform mesh with respect to the spatial variable to evaluate a generalized Black‐Scholes equation. We show that the scheme is second‐order convergent for both time and spatial variables. It is proved that the scheme is unconditionally stable. Numerical results support the theoretical results.
Finite difference methods for boundary value problems involving PDEs, Numerical methods (including Monte Carlo methods), QA1-939, Mathematics
Finite difference methods for boundary value problems involving PDEs, Numerical methods (including Monte Carlo methods), QA1-939, Mathematics
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