Superiority of Legendre Polynomials to Chebyshev Polynomial in Solving Ordinary Differential Equation

In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient. We generated shifted polynomial of Chebyshev, Legendre and Canonical polynomials which deal with solving differential equation by first choosing Chebyshev polynomial T*n(X), defined with the help of hypergeometric series T*n(x) =F ( -n, n, 1/2 ;X) and later choosing Legendre polynomial P*n (x) define by the series P*n (x) = F ( -n, n+1, 1;X); with the help of an auxiliary set of Canonical polynomials Qk in order to find the superiority between the two polynomials. Numerical examples are given which show the superiority of Legendre polynomials to Chebyshev polynomials. @JASE

The frequency equation to determine the eigenvalue of a clamped-clamped uniform Timoshenko beam

This paper presents the solution of frequency equation to clamped ends Timoshenko beam. The Eigenvalue were obtained from the asymptotic formulas. Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 473-47

Error estimation in the numerical solution of rational functions

In this paper, two methods are described for obtaining estimates of the error of rational functions the Pade\'s and Meahly\'s methods of approximation were used and it was discovered that Maehly\'s proved more accurate than the Pade\'s method. Journal of Applied Sciences and Environmental Management Vol. 9(1) 2005: 87-9

Numerical Solutions of Generalized Burger’s-Huxley Equation by Modified Variational Iteration Method

Numerical solutions of the generalized Burger’s-Huxley are obtained using a Modified Variational Iteration Method (MVIM) with minimal computational efforts. The computed results with this technique have been compared with other results. The present method is seen to be a very reliable alternative method to some existing techniques for such nonlinear problems.Keywords: Burger’s-Huxley, modified variational iteration method, lagrange multiplier, Taylor’s series, partial differential equation

Application of homotopy perturbation method for the large angle period of a nonlinear oscillator

The homotopy perturbation method is used to determine the period of anonlinear oscillator. The method produces the result even for large amplitude. The result is compared with others in the literature