Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 8 1 2024 07 20 A Numrical Method for Solving a Parabolic Problem Emanating in Financial Mathematics 91 98 421 10.22128/gadm.2024.824.1110 EN Rafi Hasani Moghadam School of Mathematics and Computer Science, Damghan University, P.O.Box 36715–364, Damghan, Iran 0000-0003-3343-9805 Journal Article 2024 05 14 ‎This study aims to develop a robust numerical algorithm for solving parabolic partial differential equations (PDEs) arising in the domain of financial mathematics‎. ‎The proposed approach leverages the finite difference method (FDM) to discretize the temporal and spatial domains of the problem‎. ‎To approximate the unknown solution‎, ‎we employ a polynomial interpolation technique‎, ‎ensuring high accuracy and stability in the numerical solution‎. ‎The effectiveness and efficiency of our method are demonstrated through comprehensive numerical experiments‎, ‎showcasing its potential for practical applications in financial modeling. parabolic problem financial mathematics polynomial function Finite difference method https://ansne.du.ac.ir/article_421_172bcb30230ede8c184a21ed40e0c77d.pdf