On the use of boundary conditions for variational formulations arising in financial mathematics
Applied Mathematics and Computation
Scattered node compact finite difference-type formulas generated from radial basis functions
Journal of Computational Physics
Computers & Mathematics with Applications
Multi-dimensional option pricing using radial basis functions and the generalized Fourier transform
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
Journal of Computational and Applied Mathematics
Stable computation of multiquadric interpolants for all values of the shape parameter
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Hi-index | 0.09 |
In this work a high order L-stable method for pricing exotic option has been discussed. The spatial discretization is done by radial basis function based local grid free method to achieve first order ordinary differential equation followed by fourth order L-stable method. Numerical study with one and two asset problems for digital option, butterfly spread and barrier option is carried out with highly accurate results that are in good agreement with those obtained by other numerical methods in the literature.