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.


  Example: Double Integration Initial Value Problems for ODEs and DAEs