MATLAB Code for 1D Wave Equation

𝜕^2 𝑢/〖𝜕𝑥〗^2 = 𝑐^2 (𝜕^2 𝑢)/〖𝜕𝑡〗^2

𝜕^2 𝑢/〖𝜕𝑡〗^2 = 0 (correct)

𝑢(0,𝑡) = 𝑢(1,𝑡)

𝑓(𝑥,𝑡) = 0

∂^2u/∂x^2 = 0 (correct)

∂^2u/∂t^2 = 𝑐^2 ∂^2u/∂x^2

𝑢(0,𝑡) = 𝑢(1,𝑡)

𝑓(𝑥,𝑡) = 0

u(1,t) = 0 (correct)

u(x,0) = ((1−x)/4)&iḥan

u(0,t) = u(1,t)

u(0,t) = 0

<p>u(x,0) = 8(x/4)&amp;iḥan, iåga guatu para 0≤x≤1/2</p> Signup and view all the answers

<p>True</p> Signup and view all the answers

<p>True</p> Signup and view all the answers

<p>True</p> Signup and view all the answers

<p>True</p> Signup and view all the answers