Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing
DOI10.1002/mma.8130zbMath1527.91180OpenAlexW4213050604MaRDI QIDQ6181832
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8130
convergenceoption pricecompact difference schemeCaputo's derivativetime-fractional Black-Scholes model
Numerical methods (including Monte Carlo methods) (91G60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Derivative securities (option pricing, hedging, etc.) (91G20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- The Pricing of Options and Corporate Liabilities
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- Homotopy perturbation method for fractional Black-Scholes European option pricing equations using Sumudu transform
- 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
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A cubic B-spline collocation method for a numerical solution of the generalized Black-Scholes equation
- 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 general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay
- A novel high-order numerical scheme and its analysis for the two-dimensional time-fractional reaction-subdiffusion equation
- A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system
- Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of \(q\)-calculus
- A sixth order numerical method and its convergence for generalized Black-Scholes PDE
- Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations
- Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons
- A new collection of real world applications of fractional calculus in science and engineering
- 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
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- 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
- A high‐order B‐spline collocation scheme for solving a nonhomogeneous time‐fractional diffusion equation
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