2 research outputs found
Enhanced Numerov Method for the Numerical Solution of Second Order Initial Value Problems
Numerov method is a multistep numerical method that is used in solving second
order differential equations. In this work, we apply this method as a Boundary Value Method
(BVM) for the numerical approximation of both linear and nonlinear second order initial value
problems. This is achieved by constructing the Numerov method via interpolation and
collocation process while utilizing data at off-step points and implementing it as a BVM. On
comparing the results obtained from the solved problems, it shows that the method is accurate
with high level of convergence to their exact forms and performs better than results from
literature