Application of non-polynomial spline to the solution of fifth-order boundary value problems in induction motor

Abstract

Abstract Non-polynomial spline functions of the form Span{1, x, x 2 , x 3 , x 4 , x 5 , cos ( kx ) + e x } , where k can be real or pure imaginary, are used to find the numerical solution of linear fifth-order boundary value problems. The order of convergence of the method is observed to be of O ( h 2 ) . A fifth order convergent method is defined with the help of improved end-conditions. Three examples are considered to show the reliability and efficiency of the method. The numerical results, obtained, endorse the improved order of convergence of the method.