A compact finite difference scheme for fractional Black-Scholes option pricing model
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Publication:2029151
DOI10.1016/j.apnum.2021.03.017zbMath1467.91215OpenAlexW3151491349MaRDI QIDQ2029151
Pradip Roul, V. M. K. Prasad Goura
Publication date: 3 June 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.03.017
convergence analysisstability analysiscompact finite difference methodBlack-Scholes equationCaputo's derivative
Numerical methods (including Monte Carlo methods) (91G60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Derivative securities (option pricing, hedging, etc.) (91G20)
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Cites Work
- The Pricing of Options and Corporate Liabilities
- Numerical computation of nonlinear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves
- Homotopy perturbation method for fractional Black-Scholes European option pricing equations using Sumudu transform
- A predictor-corrector approach for pricing American options under the finite moment log-stable model
- Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations
- Option pricing of a bi-fractional Black-Merton-Scholes model with the Hurst exponent \(H\) in \([\frac{1}{2}, 1\)]
- Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
- A cubic B-spline collocation method for a numerical solution of the generalized Black-Scholes equation
- Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution
- Numerical approximation of a time-fractional Black-Scholes equation
- Analytically pricing double barrier options based on a time-fractional Black-Scholes equation
- Numerical solution of the time fractional Black-Scholes model governing European options
- Solution of the fractional Black-Scholes option pricing model by finite difference method
- A sixth order numerical method and its convergence for generalized Black-Scholes PDE
- Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation
- A high order numerical method and its convergence for time-fractional fourth order partial differential equations
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: mathematical analysis
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A note on Wick products and the fractional Black-Scholes model
- Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Finite difference methods of the spatial fractional Black–Schloes equation for a European call option
- Unnamed Item
- Unnamed Item
- Unnamed Item