In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...

Published 1. End Conditions for Interpolatory Septic Spline Ghazala Akram and Shahid S. Siddiqi, International Journal of Computer Mathematics, Vol. 82, No. 12, 2005 pp15251540. 2. Solutions of Fifth Order Boundary-Value Problems Using NonPolynomial Spline Technique Shahid S. Siddiqi and Ghazala Akram, Applied Mathematics and Computation Vol. 175, No. 2, 2006 pp. 1574-1581. 3. Solutions of Sixt...

In the present paper, we consider an eigenvalue problem generated by eight- order differential equations with suitable boundary conditions, that containing a spectral parameter. New accurate asymptotic expressions for 8th linearly independent solutions are computed. Then, new formulas eigenvalues and eigenfunctions of this value obtained

A finite element method involving collocation method with quintic B-splines as basis functions has been developed to solve tenth order boundary value problems. The fifth order, sixth order, seventh order, eighth order, ninth order and tenth order derivatives for the dependent variable are approximated by the central differences of fourth order derivatives. The basis functions are redefined into...

In this paper a finite element method involving Petrov-Galerkin method with quintic B-splines as basis functions and septic Bsplines as weight functions has been developed to solve a general eighth order boundary value problem with a particular case of boundary conditions. The basis functions are redefined into a new set of basis functions which vanish on the boundary where the Dirichlet, the N...