Practical MATLAB Modeling with Simulink: Programming and Simulating Ordinary and Partial Differential Equations

© Sulaymon L. Eshkabilov 2020

S. L. EshkabilovPractical MATLAB Modeling with Simulinkhttps://doi.org/10.1007/978-1-4842-5799-9_8

8. Boundary Value Problems

Sulaymon L. Eshkabilov¹ 

(1)

Ag & Biosystems Engineering Department, North Dakota State University, Fargo, USA

 

In this chapter, we’ll discuss the essential steps of solving boundary value problems (BVPs) of ordinary differential equations (ODEs) using MATLAB’s built-in solvers. The only difference between BVPs and IVPs is that the given differential equation in a BVP is valid within two boundary conditions, which are the initial and end conditions. A BVP can be formulated with the following expressions:

(8-1)

There are three main types (plus one other kind) of boundary conditions (BCs) in a BVP, ...