Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

This project revisits the Black–Scholes equation and explores its numerical resolution using finite-difference schemes. We implement and compare explicit and implicit methods, assess their accuracy ...

The Matlab Partial Differential Equations (PDE) toolbox provides a powerful and flexible setup for Finite Element Analysis (FEA) in multi-physics problems. However, two factors limit its application ...

Abstract: A method for trimming surfaces generated as solutions to partial differential equations (PDE) is presented. First we can use the finite difference method to calculate the PDE surface mesh ...

Abstract: In this article, we present a novel method to extend the Finite-Element-Analysis concept of Matlab's Partial-Differential-Equation (PDE) Toolbox to perform the stress calculation for any ...