Numerical Methods for Solving Third Order Two-Point Boundary Value Problems
Abu Shanab, Saja Jamal
An-Najah National University
Third order two point boundary value problems have clearly emerged in many branches of science, for example technology, engineering, physics and many others. So based on the importance of third order two point boundary value problems, new efficient and more accurate numerical methods were discussed, studied and analyzed. These numerical methods are Shooting Method, Finite Difference Method, Quartic B-Spline Method, Pade Approximation and Rational Chebyshev Approximation Method. Each method has been studied and implemented with examples and A MATLAB code was written for each method to obtain very accurate results. The Numerical results will be compared to determine the best method which is the fastest and most accurate.