IN this volume Prof. Forsyth deals with a part of his subject which, for many reasons, is full of interest. Ordinary linear differential equations concern the physicist, on the one hand, by their ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

We give the existence and the analytic form of the solutions to the linear fractional differential equations in which coefficients are bounded function on [0, b]. The method which is used is based on ...

Abstract. We design a numerical scheme for solving the Multi-step Forward Dynamic Programming (MDP) equation arising from the time-discretization of backward stochastic differential equations. The ...

First‑order differential equations, linear and separable equations, integrating factors, applications. Second‑order linear differential equations. Fundamental solutions, linear independence, Wronskian ...

For this system, the initial values for the concentrations are derived from equilibrium considerations (as a function of parameters) or are provided as known values. The experiment used to collect the ...