ENGR516 Assignment #5: Hyperbolic PDEs Problem #1: Two

ENGR516 Assignment #5: Hyperbolic PDEs Problem #1: Two Dimensional Hyperbolic Equation Expand the explicit method for hyperbolic equation to two dimensions and solve: Two Dimensional Wave Vibration Over Square Membrane ! ! ! 0.25 ?2u(x y t ) ?x2 + ?2u(x y t ) ?y2 ?? ??? ?= ?2u(x y t ) ?t 2 for 0 = x = 2 0 = y = 2 and 0 = t = 2 u(0 y t ) = 0 u(2 y t ) = 0 u(x0 t ) = 0 u(x2 t ) = 0 u(x y0) = 0.1sin(p x)sin(p y /2) ?u(x y0) ?t = 0 ! ! Present Results for t = 0.1 and t = 1.8
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