An extended 3rd-order B-spline strategy to solve linear BVPs rising in stability analysis of electrically conducting fluid in a magnetic field

Abstract

In this paper, an extended cubic B Spline scheme (CBS) is utilized to solve linear 10th-order boundary value problems (BVPs). Such types of BVPs occur in stability analysis of electrically conducting fluid in a magnetic field. The key concept is that we switched the BVPs to recreate a system that consists of all linear equations. We will alter our problem into such a form that converts the system of 10th-order BVPs and we are struck on a new system of 2nd-order BVPs. The appropriate outcome given by using CBS is contrasted with the accurate root to each problem. For each and every iteration, absolute error is also premeditated. The rule originated here aside from the estimation of the 10th-order BVPs also evaluates derivative from 1st-order to 10th-order of the accurate root. Couple of examples are demonstrated to evidence the adequacy and aptitude of the proffered strategy.