Invariant solutions of the Black-Scholes equation

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University of Pretoria

Abstract

In this study, we discuss derivatives, Lie symmetries and invariant solutions of the Black Scholes equation. We combine the Lie group methods with the Adomian decomposition method to solve the Black and Scholes equation via the heat equation. We further discuss several examples to illustrate the theory in this study

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Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2022.

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UCTD, Black-Scholes equation, Lie symmetries, Adomian decomposition method, Heat equation

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