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) Using fourth order Taylor series method with , solve the initial value problem
upto .
) If km and kn are distinct roots of Bessel function with
then show that
Using second order finite Difference method, solve the boundary value problem
Solve the wave equation with the initial and boundary conditions
.
with , using the explicit method upto four time levels.
Find an approximate value of y(1.0) for the initial value problem
using the multiple method
with step length . Calculate the starting values using Runge-Kutta second order method with the same h.
) Find the displacement u(x, t) of an infinite string using the method of Fourier transform given that the string is initially at rest and that the initial displacement is f(x), .
Find the series solution about of the equation
.