en عمومى General پژوهشي Research paper <div style="text-align: justify;"><span class="fontstyle0">The numerical approximation methods of the differential problems solution are numerous and various. Their classifications are based on several criteria: Consistency, precision, stability, convergence, dispersion, diffusion, speed and many others. For this reason a great interest must be given to the construction and the study of the associated algorithm: indeed the algorithm must be simple, robust, less expensive and fast. In this paper, after having recalled the </span><span class="fontstyle2">&delta;</span><span class="fontstyle0">-ziti method, we reformulat it to obtain an algorithm that does not require as many calculations as many nodes knowing that they are counted by thousands. We have, therefore, managed to optimize the number of iterations by passing for example from 10</span><span class="fontstyle3">³ </span><span class="fontstyle0">at 10 iterations.</span></div> Algorithm, Meshing, δ−ziti, Optimal, Operations number. 109 129 http://ijmsi.ir/browse.php?a_code=A-10-3394-1&slc_lang=en&sid=1 L. Bsiss lyrbi01@gmail.com 100319475328460010020 100319475328460010020 Yes Department of Mathematics, University Moulay Ismaïl, Faculty of Sciences, BP 11201 Zitoune, Meknès 50000, Morocco C. Ziti chziti@gmail.com 100319475328460010021 100319475328460010021 No Department of Mathematics, University Moulay Ismaïl, Faculty of Sciences, BP 11201 Zitoune, Meknès 50000, Morocco