@article{BADMUS_2024, title={COMPARISON OF BLOCK IMPLICIT ALGORITHM AND RUNGE KUTTA METHOD FOR THE SOLUTION OF NON LINEAR FIRST ORDER PROBLEMS WITH LEGENDRE POLYNOMIAL AS THE BASIC FUNCTIONS: BLOCK IMPLICIT ALGORITHMS AND RUNGE KUTTA METHODS}, volume={43}, url={https://ojs.ictp.it/jnms/index.php/jnms/article/view/906}, abstractNote={<p>A family of uniform and non-uniform order Linear<br>Multistep Block Methods was developed using Legendre Polyno-<br>mial as the basic functions and reconstructed to its equivalent<br>Runge { Kutta type Methods. The implicit block method at<br>k = 3 give a uniform order 6 while implicit block method at<br>k = 4 gives non uniform order 6&nbsp; x 9 . The continuous for-<br>mulation of the method was evaluated at some grid and o grid<br>points to obtain our implicit block methods. Also both methods<br>were demonstrated on non-linear rst order initial value prob-<br>lems (ivps) and the results obtained compared favorably with<br>the analytic solution</p>}, number={1}, journal={Journal of the Nigerian Mathematical Society}, author={BADMUS, ADEMOLA MUDASHIRU}, year={2024}, month={Mar.}, pages={15–28} }