Solving system of delay differential equations with two independent variables in each equation

6 views (last 30 days)
Deep Patel
Deep Patel on 26 Nov 2020
I want to represent a physical phenomenon of vibration using differential equations. The pair of equations formed are delay differential equations, but each one of them contains 2 independent variables. The equations are of the form as follows:
m1 y’’(t) + c1 y’(t) + k1 y(t) = a1 + b1 { y(t–τ) – y(t) } + d1 { x(t–τ) – x(t) }
m2 x’’(t) + c2 x’(t) + k2 x(t) = a2 + b2 { x(t–τ) – x(t) } + d2 { y(t–τ) – y(t) }
where, are all constants and x, y are coordinates.
I am not very familiar with dde23 solver. I tried a few examples but couldn't understand how to solve this. These equations are previously solved in the research literature I am referring to, using dde solver only. Please help!! Thank you in advance.

Sign in to answer this question.

Answers (0)

Categories

Find more on Numerical Integration and Differential Equations in Help Center and File Exchange

Tags

Community Treasure Hunt

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

Start Hunting!