Title of article :
A new type of shooting method for nonlinear boundary value problems
Author/Authors :
Ahsan, Muhammad National University of Sciences and Technology - School of Chemical and Materials Engineering, Pakistan , Farrukh, Sarah National University of Sciences and Technology - School of Chemical and Materials Engineering, Pakistan
Abstract :
In this article we introduce a new type of iterative method for initial value problems (IVPs). We enhance this method by using shooting techniques and interpolation for the boundary value problems. Our method is more accurate and applicable than built in methods used in different software packages. We solved several examples for initial value problems and linear and non-linear boundary value problems and compared results to those obtained using MATLAB.
Keywords :
Boundary value problem , New shooting method , Nonlinear boundary value problems , Initial value problems , Interpolation
Journal title :
Alexandria Engineering Journal
Journal title :
Alexandria Engineering Journal