Introduction to LSODE
Note: This chapter will be included or not depending on whether LSODE is selected. Within the chapter, the subsections using IDL and MATLAB for graphical display are optional; none, either, or both can be selected.
10.1 | Radioactive Decay | |
10.1.1 Defining the Equations | ||
10.1.2 Specifying Initial Conditions | ||
10.1.3 Controlling Output Values | ||
10.1.4 Specifying Remaining Parameters | ||
10.1.5 Working Arrays | ||
10.1.6 Invoking LSODE | ||
10.1.7 Double Precision | ||
10.1.8 The Final Program | ||
10.1.9 Compiling and Running the Program | ||
10.1.10 Displaying the Solution Graphically with IDL | ||
10.1.11 Displaying the Solution Graphically with MATLAB | ||
10.2 | The Lorenz Attractor | |
10.2.1 The Basic Equations | ||
10.2.2 The Solution with LSODE | ||
10.2.3 Displaying the Solution Graphically with IDL | ||
10.2.4 Displaying the Solution Graphically with MATLAB | ||
10.3 | Diffusion in One Dimension | |
10.3.1 The Basic Equations | ||
10.3.2 Discretizing the Basic Equations | ||
10.3.3 The Solution with LSODE | ||
10.3.4 Displaying the Solution Graphically with IDL | ||
10.3.5 Displaying the Solution Graphically with MATLAB | ||
10.4 | Diffusion in Two Dimensions | |
10.4.1 The Basic Equations | ||
10.4.2 Discretizing the Basic Equations | ||
10.4.3 The Solution with LSODE | ||
10.4.4 Displaying the Solution Graphically with IDL | ||
10.4.5 Displaying the Solution Graphically with MATLAB | ||
10.5 | Waves in One Dimension | |
10.5.1 The Basic Equations | ||
10.5.2 Discretizing the Basic Equations | ||
10.5.3 The Solution with LSODE | ||
10.5.4 Displaying the Solution Graphically with IDL | ||
10.5.5 Displaying the Solution Graphically with MATLAB | ||
10.6 | Waves in Two Dimensions | |
10.6.1 The Basic Equations | ||
10.6.2 Discretizing the Basic Equations | ||
10.6.3 The Solution with LSODE | ||
10.6.4 Displaying the Solution Graphically with IDL | ||
10.6.5 Displaying the Solution Graphically with MATLAB | ||
10.7 | Two-Dimensional Diffusion in Irregular Regions | |
10.7.1 The Basic Equations | ||
10.7.2 Discretizing the Basic Equations | ||
10.7.3 The Solution with LSODE | ||
10.7.4 Displaying the Solution Graphically with IDL | ||
10.7.5 Displaying the Solution Graphically with MATLAB | ||
10.7.6 A Refined Solution | ||
10.8 | References | |
10.9 | Exercises | |
10.A | Listing of radio.f | |
10.B | Listing of lorenz.f | |
10.C | Listing of diffus1d.f | |
10.D | Listing of diffus2d.f | |
10.E | Listing of wave1d.f | |
10.F | Listing of wave2d.f | |
10.G | Listing of house.f |