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An algorithm is presented to implement the discrete stochastic arithmetic for solving the given fuzzy boundary value problem on the C++ code via the CADNA library. Also, a theorem is proved to show the accuracy of results based on the concept of the common proximity of two fuzzy numbers. Finally, some examples are solved by using the proposed algorithm to illustrate the effectiveness of applying the stochastic arithmetic (SA) in place of the floating-point arithmetic (FPA) to validate the results and find the optimal solution.<\/jats:p>","DOI":"10.3233\/jifs-181055","type":"journal-article","created":{"date-parts":[[2018,9,7]],"date-time":"2018-09-07T10:58:14Z","timestamp":1536317894000},"page":"1785-1796","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Dynamical control of computations using the finite differences method to solve fuzzy boundary value problem"],"prefix":"10.1177","volume":"36","author":[{"given":"Hasan","family":"Barzegar Kelishami","sequence":"first","affiliation":[{"name":"Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad Ali","family":"Fariborzi Araghi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,9,6]]},"reference":[{"key":"e_1_3_3_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.11.007"},{"key":"e_1_3_3_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2004.01.003"},{"key":"e_1_3_3_4_2","first-page":"33","article-title":"A reliable method to determine the ill-condition functions using stochastic arithmetic","volume":"1","author":"Abbasbandy S.","year":"2002","unstructured":"AbbasbandyS. and Araghi FariborziM.A., A reliable method to determine the ill-condition functions using stochastic arithmetic, Southwest J Pure Appl Math 1 (2002), 33\u201338.","journal-title":"Southwest J Pure Appl Math"},{"key":"e_1_3_3_5_2","first-page":"83","article-title":"Numerical solution of improper integrals with valid implementation","volume":"7","author":"Abbasbandy S.","year":"2002","unstructured":"AbbasbandyS. and Fariborzi AraghiM.A., Numerical solution of improper integrals with valid implementation, Math Comput Appl 7 (2002), 83\u201391.","journal-title":"Math Comput Appl"},{"key":"e_1_3_3_6_2","first-page":"89","article-title":"The valid implementation of numerical integration methods","volume":"8","author":"Abbasbandy S.","year":"2002","unstructured":"AbbasbandyS. and Araghi FariborziM.A., The valid implementation of numerical integration methods, Far East J Appl Math 8 (2002), 89\u2013101.","journal-title":"Far East J Appl Math"},{"key":"e_1_3_3_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2004.03.009"},{"key":"e_1_3_3_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2016.11.013"},{"key":"e_1_3_3_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-11220-1"},{"key":"e_1_3_3_10_2","first-page":"2137","article-title":"A numerical method for two-point fuzzy boundary value problems","volume":"10","author":"Allahviranloo T.","year":"2011","unstructured":"AllahviranlooT. and KhalilpourK., A numerical method for two-point fuzzy boundary value problems, World Appl Sci J 13 10 (2011), 2137\u20132147.","journal-title":"World Appl Sci J 13"},{"key":"e_1_3_3_11_2","article-title":"An eigenvalue-eigenvector method for solving a systemof fractional differential equations with uncertainty","author":"Balooch M.R.","year":"2013","unstructured":"BaloochM.R. 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