Document Type : Research Paper
Department of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi-21, India.
Department of Mathematics, Jamia Millia Islamia, New Delhi-25, India.
In this paper, a new algorithm based on non-polynomial spline is developed for the solution of higher order boundary value problems(BVPs). Employment of the method is done by decomposing the higher order BVP into a system of third order BVPs. Convergence analysis of the developed method is also discussed. The method is tested on higher order linear as well as non-linear BVPs which shows the accuracy and efficiency of the method and also compared our results with some existing fourth order methods.