@article{(Open Science Index):https://publications.waset.org/pdf/11434, title = {Stepsize Control of the Finite Difference Method for Solving Ordinary Differential Equations}, author = {Davod Khojasteh Salkuyeh}, country = {}, institution = {}, abstract = {An important task in solving second order linear ordinary differential equations by the finite difference is to choose a suitable stepsize h. In this paper, by using the stochastic arithmetic, the CESTAC method and the CADNA library we present a procedure to estimate the optimal stepsize hopt, the stepsize which minimizes the global error consisting of truncation and round-off error. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {3}, number = {9}, year = {2009}, pages = {757 - 761}, ee = {https://publications.waset.org/pdf/11434}, url = {https://publications.waset.org/vol/33}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 33, 2009}, }