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This paper is concerned on analytical treatment of non-linear differential equation of a viscous boundary layer flow due to a moving sheet. An analytic approximate technique, namely Optimal Homotopy Asymptotic Method (OHAM) is employed into a new version for this purpose. It is proved that OHAM provide accurate solution for the nonlinear differential equation of the third-order with initial and boundary...
This paper discussed numerical algorithm of the initial and boundary value problem of nonlinear ordinary differential equations and analysis its stability in computer. The iterated algorithm with spline function for initial value problem in nonlinear ordinary differential equations was studied. Based on the principle of Newton's algorithm for nonlinear equation, a parallel algorithm for initial value...
We consider spectral method using Hermite functions for semilinear wave equation with strong damping. A spectral scheme is constructed. We then prove the stability and the convergence of the scheme. Numerical results indicating the effectiveness of this method.
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