Solving an integral differential equation using BVP4C

2 次查看（过去 30 天）
UNK
UNK 2016-12-19
编辑： UNK 2016-12-20
I have a set of differential equations of the form:
x1dot = x3;
x2dot = x2;
x3dot = x1;
x4dot = x2 + integral(x1,t,tend)
I have the boundary condition for x1, x2 at tstart and x3, x4 at tend. Without the intergral term its straight forward implementation using BVP4C.
I am wondering if it is possible to have the previous solution for the states from the BVP solver which can be used for the integral.
One possibility is using ODE45 and fsolve in combination for the Boundary value problem where I can have the previous solution, but this approach is not fast as the BVP setup.
I also feel that there may be some difficulty in convergence when I use previous solution x1 for the integral.
Is there a better/quicker or easier way to solve this problem.
Thank you.

请先登录，再回答此问题。

采纳的回答

UNK
UNK 2016-12-20
编辑：UNK 2016-12-20
integral(x1,t,tend) = x5
x5dot = -x1 % using fundamental theorem of calculus
This solves the problem.
http://math.stackexchange.com/questions/2065462/integral-differential-equation-solving/2065706#2065706

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Boundary Value Problems 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by