Searcharxiv⌕ Search

arXiv subjects

Shahid S. Siddiqi

Publications and source records attributed to Shahid S. Siddiqi.

4 recordsLinked to original sources
arXiv2013

Variational Iteration Homotopy Perturbation Method for the Solution of Seventh Order Boundary Value Problems

The induction motor behaviour is represented by a fifth order differential equation model. Addition of a torque correction factor to the model accurately reproduces the transient torques and instantaneous real and reactive power flows of the full seventh order differential equation model. The variational iteration homotopy perturbation method (VIHPM) is employed to solve the seventh order boundary value problems. The approximate solutions of the problems are obtained in terms of a rapidly convergent series. Several numerical examples are given to illustrate the implementation and efficiency of the method.

math.NA↗
arXiv2013

Non-stationary subdivision schemes originated from uniform trigonometric B-spline

The paper proposes, an algorithm to produce novel m-point (for any integer m>=2) binary non-stationary subdivision scheme. It has been developed using uniform trigonometric B-spline basis functions and smoothness is being analyzed using the theory of asymptotically equivalence. The results show that the most of well-known binary approximating schemes can be considered as the non-stationary counterpart of the proposed algorithm. Furthermore, the schemes developed by the proposed algorithm has the ability to reproduce or regenerate the conic sections, trigonometric polynomials and trigonometric splines as well. Some examples are considered, by choosing an appropriate tension parameter 0<alpha<pi/3, to show the usefulness.

math.NA↗
arXiv2003

Quintic Spline Solutions of Fourth Order Boundary-Value Problems

In this paper Quintic Spline is defined for the numerical solutions of the fourth order linear special case Boundary Value Problems. End conditions are also derived to complete the definition of spline.The algorithm developed approximates the solutions, and their higher order derivatives of differential equations. Numerical illustrations are tabulated to demonstrate the practical usefulness of method.

math.NA↗