Question
u tt = u xx (-1 0), boundary conditions: u x (1,t)+u(1,t)=1, u(-1,t)= -3 initial conditions: u(x,0)= -1, u t (x,0)=sin( x) i) solve this
utt= uxx(-1
boundary conditions: ux(1,t)+u(1,t)=1, u(-1,t)= -3
initial conditions: u(x,0)= -1, ut(x,0)=sin(x)
i) solve this initial value problem (IVP) by using the method of separation of variables.
ii) graphically present three terms(trinomial) solutions for u(0,t).
(Full solution with the specified method will be highly appreciated..)
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Numerical Analysis
Authors: Richard L. Burden, J. Douglas Faires
9th edition
538733519, 978-1133169338, 1133169333, 978-0538733519
