diff --git a/README.md b/README.md index a9a0ba7c..6b209cfb 100644 --- a/README.md +++ b/README.md @@ -35,14 +35,16 @@ Modern Fortran standards (2003+) have introduced support for Object-Oriented Pro The FOODIE environment allows the (numerical) solution of general, non linear differential equations system of the form: -![IVP](https://raw.githubusercontent.com/wiki/Fortran-FOSS-Programmers/FOODIE/images/IVP.png) +$$U_t = R(t, U)$$ + +$$U_0 = F$$ where: -+ *U_t = dU/dt*; -+ *U* is the vector of *state* variables being a function of the time-like independent variable *t*; -+ *R* is the (vectorial) residual function, it could be a non linear function of the solution *U* itself; -+ *F* is the (vectorial) initial conditions function. ++ $U_t = \frac{dU}{dt}$; ++ $U$ is the vector of *state* variables being a function of the time-like independent variable $t$; ++ $R$ is the (vectorial) residual function, it could be a non linear function of the solution $U$ itself; ++ $F$ is the (vectorial) initial conditions function. The FOODIE has two main purposes: