Mathematics

# Differential Equations

This chapter treats the numerical solution of differential equations using MATLAB. It includes:
 Initial Value Problems for ODEs and DAEs Describes the solution of ordinary differential equations (ODEs) and differential-algebraic equations (DAEs), where the solution of interest satisfies initial conditions at a given initial value of the independent variable. Initial Value Problems for DDEs Describes the solution of delay differential equations (DDEs) where the solution of interest satisfies initial conditions at a given initial value of the independent variable. Boundary Value Problems for ODEs Describes the solution of ODEs, where the solution of interest satisfies certain boundary conditions . The boundary conditions specify a relationship between the values of the solution at the initial and final values of the independent variable. Partial Differential Equations Describes the solution of initial-boundary value problems for systems of parabolic and elliptic partial differential equations (PDEs) in one spatial variable and time. Selected Bibliography Lists published materials that support concepts described in this chapter.

 Note    In function tables, commonly used functions are listed first, followed by more advanced functions. The same is true of property tables.

 Example: Double Integration Initial Value Problems for ODEs and DAEs