A new direct method for solving the Black-Scholes equation

DOI10.1016/j.aml.2002.12.016zbMath1068.35005OpenAlexW2039902433MaRDI QIDQ2484571

Yanyan Li

Publication date: 1 August 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2002.12.016

zbMATH Keywords

Mellin transform

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (18)

A combined compact difference scheme for option pricing in the exponential jump-diffusion models ⋮ Jumping hedges on the strength of the Mellin transform ⋮ Approximate ordinary differential equations for the optimal exercise boundaries of American put and call options ⋮ On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics ⋮ Numerical solution of modified Black-Scholes equation pricing stock options with discrete dividend ⋮ Pricing vulnerable options under jump diffusion processes using double Mellin transform ⋮ Lattice Boltzmann method for the generalized Black-Scholes equation ⋮ A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS ⋮ Unnamed Item ⋮ Removing non-smoothness in solving Black-Scholes equation using a perturbation method ⋮ Explicit solution of Black-Scholes option pricing mathematical models with an impulsive payoff function ⋮ Unnamed Item ⋮ A Laplace transform finite difference method for the Black-Scholes equation ⋮ Analytical solutions of a time-fractional nonlinear transaction-cost model for stock option valuation in an illiquid market setting driven by a relaxed Black–Scholes assumption ⋮ On analytical solutions of the Black-Scholes equation ⋮ Unnamed Item ⋮ Determination of a source term in a partial differential equation arising in finance ⋮ AN APPLICATION OF MELLIN TRANSFORM TECHNIQUES TO A BLACK–SCHOLES EQUATION PROBLEM

Cites Work

• Statistical mechanics of financial markets: exponential modifications to Black-Scholes.
• The Mathematics of Financial Derivatives
• Valuing American Options by Simulation: A Simple Least-Squares Approach
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