This study proposes one-dimensional advection diffusion equation (ADE) with finite differences method (FDM) using spreadsheet simulation (ADESS). By changing only the values of weighted parameter with ADESS model, solutions are obtained for the FTSC, Upwind and Lax Wendroff schemes. Two examples which, have the numerical and analytical solutions in literature, are solved in order to test the pr...

in this paper, a chebyshev finite difference method has been proposed in order to solvenonlinear two-point boundary value problems for second order nonlinear differentialequations. a problem arising from chemical reactor theory is then considered. the approachconsists of reducing the problem to a set of algebraic equations. this method can be regardedas a non-uniform finite difference scheme. t...

In this paper, we evaluate and discuss different numerical methods to solve the Black–Scholes equation, including ?-method, mixed method, Richardson Du Fort Frankel MADE (modified alternating directional explicit) method. These produce drawbacks such as spurious oscillations negative values in solution when volatility is much smaller than interest rate. The method sacrifices accuracy obtain sta...