A wavelet collocation method for fractional Black-Scholes equations by subdiffusive model
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Publication:6590574
DOI10.1002/num.23103zbMath1544.91356MaRDI QIDQ6590574
Davood Damircheli, Mohsen Razzaghi
Publication date: 21 August 2024
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
beta functionnumerical solutionfractional Black-Scholes equationsubdiffusion processfractional-order generalized Taylor wavelet
Numerical methods (including Monte Carlo methods) (91G60) Numerical methods for wavelets (65T60) Derivative securities (option pricing, hedging, etc.) (91G20) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
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- The Pricing of Options and Corporate Liabilities
- An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
- Option pricing and Esscher transform under regime switching
- An efficient algorithm for solving multi-pantograph equation systems
- Solution of Hallen's integral equation using multiwavelets
- Hybrid functions approach for optimal control of systems described by integro-differential equations
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Black-Scholes formula in subdiffusive regime
- Option pricing of a bi-fractional Black-Merton-Scholes model with the Hurst exponent \(H\) in \([\frac{1}{2}, 1\)]
- Collocation and residual correction
- The convergence rates of expansions in Jacobi polynomials
- Numerical solution of nonlinear fractional integro-differential equations by hybrid functions
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
- A generalized model for the uniaxial isothermal deformation of a viscoelastic body
- Numerical approximation of a time-fractional Black-Scholes equation
- The impact of the Chebyshev collocation method on solutions of the time-fractional Black-Scholes
- A second order numerical method for the time-fractional Black-Scholes European option pricing model
- A spectral collocation method based on fractional Pell functions for solving time-fractional Black-Scholes option pricing model
- A weighted finite difference method for subdiffusive Black-Scholes model
- Equivalent definitions of Caputo derivatives and applications to subdiffusion equations
- A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations
- A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
- Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational tau method and error estimation
- Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate
- A note on Wick products and the fractional Black-Scholes model
- A computational weighted finite difference method for American and barrier options in subdiffusive Black-Scholes model
- High-order compact finite difference schemes for the time-fractional Black-Scholes model governing European options
- Pointwise convergence of wavelet expansions
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition
- Option pricing when underlying stock returns are discontinuous
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- A numerical method for solving variable‐order fractional diffusion equations using fractional‐order <scp>Taylor</scp> wavelets
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