## 10 Reputation

15 years, 49 days
USMANU DANFODIYO UNIVERSITY,NIGERIA
lecturer

## Iteration...

I really appreciated with your comments and suggestions.Best wishes to all. Thanks

## Re-Iteration...

pls How can I code this with Maple. Thanks

The pde

\eqalign{ & u_t = - u_x + 2 + t + x \cr & u(0,x) = f(x) \cr & u(t,0) = \alpha (t) \cr & where \cr & f(x) = 1 + x;\alpha (t) = 1 + t; \cr}
The iteration is given below

\eqalign{ & u^{[k + 1]} (t,x) = 1 + x - \int\limits_0^t {(u^{[x]} + 2 + s) + x} )ds \cr & u^{[k + 1]} (t,x) = u^{[k + 1]} (t,x) - (u^{[k + 1]} (t,0) - (1 + t)) \cr}

Thanks,for the response.I constructed new Implicit Runge-kutta,from zeros of Gengebaur orthogonal polynomials.I want used the methods and solve a systems of ordinary differential equations and compared it with existing method,For examples those methods constructed with zeros of Legendre polynomial.Using Maple Code.Thanks

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