In this article, we propose a super accurate numerical scheme to solve the one-dimensional
Sobolev type partial differential equation with an initial and two nonlocal integral boundary
conditions. Our proposed methods are based on the shifted Standard and shifted
Chebyshev Tau method. Firstly, We convert the model of partial differential equation to
a linear algebraic equation and then we solve this system. Shifted Standard and shifted
Chebyshev polynomials are applied for giving the computational results. Numerical results
are presented for some problems to demonstrate the usefulness and accuracy of this
approach. The method is easy to apply and produces very accurate numerical results.
کلید واژگان :
Sobolev-type equation Hyperbolic equation Tau method Nonlocal boundary condition Shifted Standard base Shifted Chebyshev base
