Special Session 69: Lie Symmetries, Conservation laws and other approaches in solving nonlinear differential equations
Contents
We propose a new Mathematical technique for solving the highly
nonlinear ordinary differential equation which is called Thomas-Fermi equation for finite interval with the help of Trigonometric and Hyperbolic functions. This approach is based on
Active Set (AS), Sequential Quadratic Programming (SQP) and hybrid method with combination of Mathematica that is indeed a good combination in present as well as for future. Our method reduces the error between reference solution and numerical solution. Comparison of our numerical results with those obtained by other approaches
shows high accuracy of our method which provide evidence that the present
solution is highly accurate.